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Finding the Third Proportional to 35,737 and 52,535

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Solution

The third proportional to 35,737 and 52,535 is: 77,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737 : 52,535 = 52,535 : x
  2. Step 2: Convert to fraction form
    35,737/52,535 = 52,535/x
  3. Step 3: Cross multiply
    35,737x = 52,535 × 52,535
  4. Step 4: Simplify right side
    35,737x = 2,759,926,225
  5. Step 5: Solve for x
    x = 2,759,926,225/35,737
  6. Step 6: Final answer
    x = 77,228.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.