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Finding the Third Proportional to 22,368 and 41,566

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Solution

The third proportional to 22,368 and 41,566 is: 77,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,368 : 41,566 = 41,566 : x
  2. Step 2: Convert to fraction form
    22,368/41,566 = 41,566/x
  3. Step 3: Cross multiply
    22,368x = 41,566 × 41,566
  4. Step 4: Simplify right side
    22,368x = 1,727,732,356
  5. Step 5: Solve for x
    x = 1,727,732,356/22,368
  6. Step 6: Final answer
    x = 77,241.25

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.