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Finding the Third Proportional to 20,127 and 23,043

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Solution

The third proportional to 20,127 and 23,043 is: 26,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127 : 23,043 = 23,043 : x
  2. Step 2: Convert to fraction form
    20,127/23,043 = 23,043/x
  3. Step 3: Cross multiply
    20,127x = 23,043 × 23,043
  4. Step 4: Simplify right side
    20,127x = 530,979,849
  5. Step 5: Solve for x
    x = 530,979,849/20,127
  6. Step 6: Final answer
    x = 26,381.47

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.