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Finding the Third Proportional to 34,737.75 and 39,660.75

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Solution

The third proportional to 34,737.75 and 39,660.75 is: 45,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,737.75 : 39,660.75 = 39,660.75 : x
  2. Step 2: Convert to fraction form
    34,737.75/39,660.75 = 39,660.75/x
  3. Step 3: Cross multiply
    34,737.75x = 39,660.75 × 39,660.75
  4. Step 4: Simplify right side
    34,737.75x = 1,572,975,090.56
  5. Step 5: Solve for x
    x = 1,572,975,090.56/34,737.75
  6. Step 6: Final answer
    x = 45,281.43

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.