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Finding the Third Proportional to 34,737 and 53,821.75

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Solution

The third proportional to 34,737 and 53,821.75 is: 83,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,737 : 53,821.75 = 53,821.75 : x
  2. Step 2: Convert to fraction form
    34,737/53,821.75 = 53,821.75/x
  3. Step 3: Cross multiply
    34,737x = 53,821.75 × 53,821.75
  4. Step 4: Simplify right side
    34,737x = 2,896,780,773.06
  5. Step 5: Solve for x
    x = 2,896,780,773.06/34,737
  6. Step 6: Final answer
    x = 83,391.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.