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Finding the Third Proportional to 47,023 and 63,790

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Solution

The third proportional to 47,023 and 63,790 is: 86,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,023 : 63,790 = 63,790 : x
  2. Step 2: Convert to fraction form
    47,023/63,790 = 63,790/x
  3. Step 3: Cross multiply
    47,023x = 63,790 × 63,790
  4. Step 4: Simplify right side
    47,023x = 4,069,164,100
  5. Step 5: Solve for x
    x = 4,069,164,100/47,023
  6. Step 6: Final answer
    x = 86,535.61

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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.