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Finding the Third Proportional to 15,734 and 22,305

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Solution

The third proportional to 15,734 and 22,305 is: 31,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734 : 22,305 = 22,305 : x
  2. Step 2: Convert to fraction form
    15,734/22,305 = 22,305/x
  3. Step 3: Cross multiply
    15,734x = 22,305 × 22,305
  4. Step 4: Simplify right side
    15,734x = 497,513,025
  5. Step 5: Solve for x
    x = 497,513,025/15,734
  6. Step 6: Final answer
    x = 31,620.25

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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.