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Finding the Third Proportional to 4,642.50 and 7,194.94

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Solution

The third proportional to 4,642.50 and 7,194.94 is: 11,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.50 : 7,194.94 = 7,194.94 : x
  2. Step 2: Convert to fraction form
    4,642.50/7,194.94 = 7,194.94/x
  3. Step 3: Cross multiply
    4,642.50x = 7,194.94 × 7,194.94
  4. Step 4: Simplify right side
    4,642.50x = 51,767,125.63
  5. Step 5: Solve for x
    x = 51,767,125.63/4,642.50
  6. Step 6: Final answer
    x = 11,150.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.