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Finding the Third Proportional to 32,445.56 and 71,042.06

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Solution

The third proportional to 32,445.56 and 71,042.06 is: 155,552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445.56 : 71,042.06 = 71,042.06 : x
  2. Step 2: Convert to fraction form
    32,445.56/71,042.06 = 71,042.06/x
  3. Step 3: Cross multiply
    32,445.56x = 71,042.06 × 71,042.06
  4. Step 4: Simplify right side
    32,445.56x = 5,046,974,644.25
  5. Step 5: Solve for x
    x = 5,046,974,644.25/32,445.56
  6. Step 6: Final answer
    x = 155,552.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.