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Finding the Third Proportional to 20,657 and 44,527

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Solution

The third proportional to 20,657 and 44,527 is: 95,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657 : 44,527 = 44,527 : x
  2. Step 2: Convert to fraction form
    20,657/44,527 = 44,527/x
  3. Step 3: Cross multiply
    20,657x = 44,527 × 44,527
  4. Step 4: Simplify right side
    20,657x = 1,982,653,729
  5. Step 5: Solve for x
    x = 1,982,653,729/20,657
  6. Step 6: Final answer
    x = 95,979.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.