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Finding the Third Proportional to 10,500.19 and 15,724.97

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Solution

The third proportional to 10,500.19 and 15,724.97 is: 23,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.19 : 15,724.97 = 15,724.97 : x
  2. Step 2: Convert to fraction form
    10,500.19/15,724.97 = 15,724.97/x
  3. Step 3: Cross multiply
    10,500.19x = 15,724.97 × 15,724.97
  4. Step 4: Simplify right side
    10,500.19x = 247,274,642.19
  5. Step 5: Solve for x
    x = 247,274,642.19/10,500.19
  6. Step 6: Final answer
    x = 23,549.55

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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.