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Finding the Third Proportional to 22,394 and 34,527

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Solution

The third proportional to 22,394 and 34,527 is: 53,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,394 : 34,527 = 34,527 : x
  2. Step 2: Convert to fraction form
    22,394/34,527 = 34,527/x
  3. Step 3: Cross multiply
    22,394x = 34,527 × 34,527
  4. Step 4: Simplify right side
    22,394x = 1,192,113,729
  5. Step 5: Solve for x
    x = 1,192,113,729/22,394
  6. Step 6: Final answer
    x = 53,233.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.