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Finding the Third Proportional to 51,748.88 and 105,674.63

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Solution

The third proportional to 51,748.88 and 105,674.63 is: 215,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,748.88 : 105,674.63 = 105,674.63 : x
  2. Step 2: Convert to fraction form
    51,748.88/105,674.63 = 105,674.63/x
  3. Step 3: Cross multiply
    51,748.88x = 105,674.63 × 105,674.63
  4. Step 4: Simplify right side
    51,748.88x = 11,167,126,368.89
  5. Step 5: Solve for x
    x = 11,167,126,368.89/51,748.88
  6. Step 6: Final answer
    x = 215,794.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.