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Finding the Third Proportional to 10,745.25 and 23,077.88

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Solution

The third proportional to 10,745.25 and 23,077.88 is: 49,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.25 : 23,077.88 = 23,077.88 : x
  2. Step 2: Convert to fraction form
    10,745.25/23,077.88 = 23,077.88/x
  3. Step 3: Cross multiply
    10,745.25x = 23,077.88 × 23,077.88
  4. Step 4: Simplify right side
    10,745.25x = 532,588,314.52
  5. Step 5: Solve for x
    x = 532,588,314.52/10,745.25
  6. Step 6: Final answer
    x = 49,565.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.