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Finding the Third Proportional to 32,424.88 and 71,000.63

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Solution

The third proportional to 32,424.88 and 71,000.63 is: 155,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,424.88 : 71,000.63 = 71,000.63 : x
  2. Step 2: Convert to fraction form
    32,424.88/71,000.63 = 71,000.63/x
  3. Step 3: Cross multiply
    32,424.88x = 71,000.63 × 71,000.63
  4. Step 4: Simplify right side
    32,424.88x = 5,041,088,750.39
  5. Step 5: Solve for x
    x = 5,041,088,750.39/32,424.88
  6. Step 6: Final answer
    x = 155,469.80

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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.