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Finding the Third Proportional to 20,624 and 31,127

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Solution

The third proportional to 20,624 and 31,127 is: 46,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,624 : 31,127 = 31,127 : x
  2. Step 2: Convert to fraction form
    20,624/31,127 = 31,127/x
  3. Step 3: Cross multiply
    20,624x = 31,127 × 31,127
  4. Step 4: Simplify right side
    20,624x = 968,890,129
  5. Step 5: Solve for x
    x = 968,890,129/20,624
  6. Step 6: Final answer
    x = 46,978.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.