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Finding the Third Proportional to 9,580 and 14,382

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Solution

The third proportional to 9,580 and 14,382 is: 21,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580 : 14,382 = 14,382 : x
  2. Step 2: Convert to fraction form
    9,580/14,382 = 14,382/x
  3. Step 3: Cross multiply
    9,580x = 14,382 × 14,382
  4. Step 4: Simplify right side
    9,580x = 206,841,924
  5. Step 5: Solve for x
    x = 206,841,924/9,580
  6. Step 6: Final answer
    x = 21,591.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.