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Finding the Third Proportional to 23,987 and 35,332

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Solution

The third proportional to 23,987 and 35,332 is: 52,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,987 : 35,332 = 35,332 : x
  2. Step 2: Convert to fraction form
    23,987/35,332 = 35,332/x
  3. Step 3: Cross multiply
    23,987x = 35,332 × 35,332
  4. Step 4: Simplify right side
    23,987x = 1,248,350,224
  5. Step 5: Solve for x
    x = 1,248,350,224/23,987
  6. Step 6: Final answer
    x = 52,042.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.