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Finding the Third Proportional to 41,032 and 63,392

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Solution

The third proportional to 41,032 and 63,392 is: 97,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,032 : 63,392 = 63,392 : x
  2. Step 2: Convert to fraction form
    41,032/63,392 = 63,392/x
  3. Step 3: Cross multiply
    41,032x = 63,392 × 63,392
  4. Step 4: Simplify right side
    41,032x = 4,018,545,664
  5. Step 5: Solve for x
    x = 4,018,545,664/41,032
  6. Step 6: Final answer
    x = 97,936.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.