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Finding the Third Proportional to 15,702 and 24,633

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Solution

The third proportional to 15,702 and 24,633 is: 38,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702 : 24,633 = 24,633 : x
  2. Step 2: Convert to fraction form
    15,702/24,633 = 24,633/x
  3. Step 3: Cross multiply
    15,702x = 24,633 × 24,633
  4. Step 4: Simplify right side
    15,702x = 606,784,689
  5. Step 5: Solve for x
    x = 606,784,689/15,702
  6. Step 6: Final answer
    x = 38,643.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.