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Finding the Third Proportional to 47,336 and 64,092

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Solution

The third proportional to 47,336 and 64,092 is: 86,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,336 : 64,092 = 64,092 : x
  2. Step 2: Convert to fraction form
    47,336/64,092 = 64,092/x
  3. Step 3: Cross multiply
    47,336x = 64,092 × 64,092
  4. Step 4: Simplify right side
    47,336x = 4,107,784,464
  5. Step 5: Solve for x
    x = 4,107,784,464/47,336
  6. Step 6: Final answer
    x = 86,779.29

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.