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Finding the Third Proportional to 15,717 and 24,122.25

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Solution

The third proportional to 15,717 and 24,122.25 is: 37,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717 : 24,122.25 = 24,122.25 : x
  2. Step 2: Convert to fraction form
    15,717/24,122.25 = 24,122.25/x
  3. Step 3: Cross multiply
    15,717x = 24,122.25 × 24,122.25
  4. Step 4: Simplify right side
    15,717x = 581,882,945.06
  5. Step 5: Solve for x
    x = 581,882,945.06/15,717
  6. Step 6: Final answer
    x = 37,022.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.