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Finding the Third Proportional to 10,143.13 and 15,600.25

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Solution

The third proportional to 10,143.13 and 15,600.25 is: 23,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.13 : 15,600.25 = 15,600.25 : x
  2. Step 2: Convert to fraction form
    10,143.13/15,600.25 = 15,600.25/x
  3. Step 3: Cross multiply
    10,143.13x = 15,600.25 × 15,600.25
  4. Step 4: Simplify right side
    10,143.13x = 243,367,800.06
  5. Step 5: Solve for x
    x = 243,367,800.06/10,143.13
  6. Step 6: Final answer
    x = 23,993.37

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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.