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Finding the Third Proportional to 32,937.42 and 71,837.82

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Solution

The third proportional to 32,937.42 and 71,837.82 is: 156,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,937.42 : 71,837.82 = 71,837.82 : x
  2. Step 2: Convert to fraction form
    32,937.42/71,837.82 = 71,837.82/x
  3. Step 3: Cross multiply
    32,937.42x = 71,837.82 × 71,837.82
  4. Step 4: Simplify right side
    32,937.42x = 5,160,672,988.48
  5. Step 5: Solve for x
    x = 5,160,672,988.48/32,937.42
  6. Step 6: Final answer
    x = 156,681.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.