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Finding the Third Proportional to 42,684.47 and 61,666.31

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Solution

The third proportional to 42,684.47 and 61,666.31 is: 89,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,684.47 : 61,666.31 = 61,666.31 : x
  2. Step 2: Convert to fraction form
    42,684.47/61,666.31 = 61,666.31/x
  3. Step 3: Cross multiply
    42,684.47x = 61,666.31 × 61,666.31
  4. Step 4: Simplify right side
    42,684.47x = 3,802,734,097.35
  5. Step 5: Solve for x
    x = 3,802,734,097.35/42,684.47
  6. Step 6: Final answer
    x = 89,089.41

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.