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Finding the Third Proportional to 9,414 and 14,566

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Solution

The third proportional to 9,414 and 14,566 is: 22,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414 : 14,566 = 14,566 : x
  2. Step 2: Convert to fraction form
    9,414/14,566 = 14,566/x
  3. Step 3: Cross multiply
    9,414x = 14,566 × 14,566
  4. Step 4: Simplify right side
    9,414x = 212,168,356
  5. Step 5: Solve for x
    x = 212,168,356/9,414
  6. Step 6: Final answer
    x = 22,537.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.