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Finding the Third Proportional to 10,027.88 and 15,726.94

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Solution

The third proportional to 10,027.88 and 15,726.94 is: 24,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.88 : 15,726.94 = 15,726.94 : x
  2. Step 2: Convert to fraction form
    10,027.88/15,726.94 = 15,726.94/x
  3. Step 3: Cross multiply
    10,027.88x = 15,726.94 × 15,726.94
  4. Step 4: Simplify right side
    10,027.88x = 247,336,563.13
  5. Step 5: Solve for x
    x = 247,336,563.13/10,027.88
  6. Step 6: Final answer
    x = 24,664.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.