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Finding the Third Proportional to 35,732 and 52,565

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Solution

The third proportional to 35,732 and 52,565 is: 77,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,732 : 52,565 = 52,565 : x
  2. Step 2: Convert to fraction form
    35,732/52,565 = 52,565/x
  3. Step 3: Cross multiply
    35,732x = 52,565 × 52,565
  4. Step 4: Simplify right side
    35,732x = 2,763,079,225
  5. Step 5: Solve for x
    x = 2,763,079,225/35,732
  6. Step 6: Final answer
    x = 77,327.86

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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.