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Finding the Third Proportional to 47,076 and 63,924

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Solution

The third proportional to 47,076 and 63,924 is: 86,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,076 : 63,924 = 63,924 : x
  2. Step 2: Convert to fraction form
    47,076/63,924 = 63,924/x
  3. Step 3: Cross multiply
    47,076x = 63,924 × 63,924
  4. Step 4: Simplify right side
    47,076x = 4,086,277,776
  5. Step 5: Solve for x
    x = 4,086,277,776/47,076
  6. Step 6: Final answer
    x = 86,801.72

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.