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Finding the Third Proportional to 10,225 and 15,337.50

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Solution

The third proportional to 10,225 and 15,337.50 is: 23,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225 : 15,337.50 = 15,337.50 : x
  2. Step 2: Convert to fraction form
    10,225/15,337.50 = 15,337.50/x
  3. Step 3: Cross multiply
    10,225x = 15,337.50 × 15,337.50
  4. Step 4: Simplify right side
    10,225x = 235,238,906.25
  5. Step 5: Solve for x
    x = 235,238,906.25/10,225
  6. Step 6: Final answer
    x = 23,006.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.