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Finding the Third Proportional to 24,854 and 53,415

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Solution

The third proportional to 24,854 and 53,415 is: 114,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854 : 53,415 = 53,415 : x
  2. Step 2: Convert to fraction form
    24,854/53,415 = 53,415/x
  3. Step 3: Cross multiply
    24,854x = 53,415 × 53,415
  4. Step 4: Simplify right side
    24,854x = 2,853,162,225
  5. Step 5: Solve for x
    x = 2,853,162,225/24,854
  6. Step 6: Final answer
    x = 114,796.90

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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.