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Finding the Third Proportional to 14,382 and 22,960

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Solution

The third proportional to 14,382 and 22,960 is: 36,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382 : 22,960 = 22,960 : x
  2. Step 2: Convert to fraction form
    14,382/22,960 = 22,960/x
  3. Step 3: Cross multiply
    14,382x = 22,960 × 22,960
  4. Step 4: Simplify right side
    14,382x = 527,161,600
  5. Step 5: Solve for x
    x = 527,161,600/14,382
  6. Step 6: Final answer
    x = 36,654.26

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.