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Finding the Third Proportional to 32,663.25 and 71,624.25

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Solution

The third proportional to 32,663.25 and 71,624.25 is: 157,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,663.25 : 71,624.25 = 71,624.25 : x
  2. Step 2: Convert to fraction form
    32,663.25/71,624.25 = 71,624.25/x
  3. Step 3: Cross multiply
    32,663.25x = 71,624.25 × 71,624.25
  4. Step 4: Simplify right side
    32,663.25x = 5,130,033,188.06
  5. Step 5: Solve for x
    x = 5,130,033,188.06/32,663.25
  6. Step 6: Final answer
    x = 157,058.26

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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.