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Finding the Third Proportional to 9,864 and 14,382

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Solution

The third proportional to 9,864 and 14,382 is: 20,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864 : 14,382 = 14,382 : x
  2. Step 2: Convert to fraction form
    9,864/14,382 = 14,382/x
  3. Step 3: Cross multiply
    9,864x = 14,382 × 14,382
  4. Step 4: Simplify right side
    9,864x = 206,841,924
  5. Step 5: Solve for x
    x = 206,841,924/9,864
  6. Step 6: Final answer
    x = 20,969.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.