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Finding the Third Proportional to 32,884.88 and 71,024.34

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Solution

The third proportional to 32,884.88 and 71,024.34 is: 153,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.88 : 71,024.34 = 71,024.34 : x
  2. Step 2: Convert to fraction form
    32,884.88/71,024.34 = 71,024.34/x
  3. Step 3: Cross multiply
    32,884.88x = 71,024.34 × 71,024.34
  4. Step 4: Simplify right side
    32,884.88x = 5,044,457,405.12
  5. Step 5: Solve for x
    x = 5,044,457,405.12/32,884.88
  6. Step 6: Final answer
    x = 153,397.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.