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Finding the Third Proportional to 15,758 and 22,407

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Solution

The third proportional to 15,758 and 22,407 is: 31,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758 : 22,407 = 22,407 : x
  2. Step 2: Convert to fraction form
    15,758/22,407 = 22,407/x
  3. Step 3: Cross multiply
    15,758x = 22,407 × 22,407
  4. Step 4: Simplify right side
    15,758x = 502,073,649
  5. Step 5: Solve for x
    x = 502,073,649/15,758
  6. Step 6: Final answer
    x = 31,861.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.