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Finding the Third Proportional to 9,564 and 14,294

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Solution

The third proportional to 9,564 and 14,294 is: 21,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564 : 14,294 = 14,294 : x
  2. Step 2: Convert to fraction form
    9,564/14,294 = 14,294/x
  3. Step 3: Cross multiply
    9,564x = 14,294 × 14,294
  4. Step 4: Simplify right side
    9,564x = 204,318,436
  5. Step 5: Solve for x
    x = 204,318,436/9,564
  6. Step 6: Final answer
    x = 21,363.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.