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Finding the Third Proportional to 15,423.50 and 23,249

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Solution

The third proportional to 15,423.50 and 23,249 is: 35,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,423.50 : 23,249 = 23,249 : x
  2. Step 2: Convert to fraction form
    15,423.50/23,249 = 23,249/x
  3. Step 3: Cross multiply
    15,423.50x = 23,249 × 23,249
  4. Step 4: Simplify right side
    15,423.50x = 540,516,001
  5. Step 5: Solve for x
    x = 540,516,001/15,423.50
  6. Step 6: Final answer
    x = 35,044.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.