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Finding the Third Proportional to 20,023 and 53,870

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Solution

The third proportional to 20,023 and 53,870 is: 144,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023 : 53,870 = 53,870 : x
  2. Step 2: Convert to fraction form
    20,023/53,870 = 53,870/x
  3. Step 3: Cross multiply
    20,023x = 53,870 × 53,870
  4. Step 4: Simplify right side
    20,023x = 2,901,976,900
  5. Step 5: Solve for x
    x = 2,901,976,900/20,023
  6. Step 6: Final answer
    x = 144,932.17

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.