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Finding the Third Proportional to 35,632 and 56,419

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Solution

The third proportional to 35,632 and 56,419 is: 89,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,632 : 56,419 = 56,419 : x
  2. Step 2: Convert to fraction form
    35,632/56,419 = 56,419/x
  3. Step 3: Cross multiply
    35,632x = 56,419 × 56,419
  4. Step 4: Simplify right side
    35,632x = 3,183,103,561
  5. Step 5: Solve for x
    x = 3,183,103,561/35,632
  6. Step 6: Final answer
    x = 89,332.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.