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Finding the Third Proportional to 15,988 and 25,540

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Solution

The third proportional to 15,988 and 25,540 is: 40,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,988 : 25,540 = 25,540 : x
  2. Step 2: Convert to fraction form
    15,988/25,540 = 25,540/x
  3. Step 3: Cross multiply
    15,988x = 25,540 × 25,540
  4. Step 4: Simplify right side
    15,988x = 652,291,600
  5. Step 5: Solve for x
    x = 652,291,600/15,988
  6. Step 6: Final answer
    x = 40,798.82

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1.5x scale

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.