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Finding the Third Proportional to 4,676.25 and 7,178.63

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Solution

The third proportional to 4,676.25 and 7,178.63 is: 11,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.25 : 7,178.63 = 7,178.63 : x
  2. Step 2: Convert to fraction form
    4,676.25/7,178.63 = 7,178.63/x
  3. Step 3: Cross multiply
    4,676.25x = 7,178.63 × 7,178.63
  4. Step 4: Simplify right side
    4,676.25x = 51,532,656.89
  5. Step 5: Solve for x
    x = 51,532,656.89/4,676.25
  6. Step 6: Final answer
    x = 11,020.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.