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Finding the Third Proportional to 10,026.75 and 15,004.13

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Solution

The third proportional to 10,026.75 and 15,004.13 is: 22,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.75 : 15,004.13 = 15,004.13 : x
  2. Step 2: Convert to fraction form
    10,026.75/15,004.13 = 15,004.13/x
  3. Step 3: Cross multiply
    10,026.75x = 15,004.13 × 15,004.13
  4. Step 4: Simplify right side
    10,026.75x = 225,123,767.02
  5. Step 5: Solve for x
    x = 225,123,767.02/10,026.75
  6. Step 6: Final answer
    x = 22,452.32

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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.