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Finding the Third Proportional to 32,304.38 and 68,522.63

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Solution

The third proportional to 32,304.38 and 68,522.63 is: 145,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,304.38 : 68,522.63 = 68,522.63 : x
  2. Step 2: Convert to fraction form
    32,304.38/68,522.63 = 68,522.63/x
  3. Step 3: Cross multiply
    32,304.38x = 68,522.63 × 68,522.63
  4. Step 4: Simplify right side
    32,304.38x = 4,695,350,136.89
  5. Step 5: Solve for x
    x = 4,695,350,136.89/32,304.38
  6. Step 6: Final answer
    x = 145,347.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.