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Finding the Third Proportional to 15,754 and 25,382

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Solution

The third proportional to 15,754 and 25,382 is: 40,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754 : 25,382 = 25,382 : x
  2. Step 2: Convert to fraction form
    15,754/25,382 = 25,382/x
  3. Step 3: Cross multiply
    15,754x = 25,382 × 25,382
  4. Step 4: Simplify right side
    15,754x = 644,245,924
  5. Step 5: Solve for x
    x = 644,245,924/15,754
  6. Step 6: Final answer
    x = 40,894.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.