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Finding the Third Proportional to 10,246.50 and 15,824.50

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Solution

The third proportional to 10,246.50 and 15,824.50 is: 24,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.50 : 15,824.50 = 15,824.50 : x
  2. Step 2: Convert to fraction form
    10,246.50/15,824.50 = 15,824.50/x
  3. Step 3: Cross multiply
    10,246.50x = 15,824.50 × 15,824.50
  4. Step 4: Simplify right side
    10,246.50x = 250,414,800.25
  5. Step 5: Solve for x
    x = 250,414,800.25/10,246.50
  6. Step 6: Final answer
    x = 24,439.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.