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Finding the Third Proportional to 15,697 and 22,315.50

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Solution

The third proportional to 15,697 and 22,315.50 is: 31,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697 : 22,315.50 = 22,315.50 : x
  2. Step 2: Convert to fraction form
    15,697/22,315.50 = 22,315.50/x
  3. Step 3: Cross multiply
    15,697x = 22,315.50 × 22,315.50
  4. Step 4: Simplify right side
    15,697x = 497,981,540.25
  5. Step 5: Solve for x
    x = 497,981,540.25/15,697
  6. Step 6: Final answer
    x = 31,724.63

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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.