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Finding the Third Proportional to 15,675 and 24,298

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Solution

The third proportional to 15,675 and 24,298 is: 37,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675 : 24,298 = 24,298 : x
  2. Step 2: Convert to fraction form
    15,675/24,298 = 24,298/x
  3. Step 3: Cross multiply
    15,675x = 24,298 × 24,298
  4. Step 4: Simplify right side
    15,675x = 590,392,804
  5. Step 5: Solve for x
    x = 590,392,804/15,675
  6. Step 6: Final answer
    x = 37,664.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.