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Finding the Third Proportional to 35,532.56 and 77,329.13

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Solution

The third proportional to 35,532.56 and 77,329.13 is: 168,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,532.56 : 77,329.13 = 77,329.13 : x
  2. Step 2: Convert to fraction form
    35,532.56/77,329.13 = 77,329.13/x
  3. Step 3: Cross multiply
    35,532.56x = 77,329.13 × 77,329.13
  4. Step 4: Simplify right side
    35,532.56x = 5,979,793,573.27
  5. Step 5: Solve for x
    x = 5,979,793,573.27/35,532.56
  6. Step 6: Final answer
    x = 168,290.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.