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Finding the Third Proportional to 24,549 and 53,109

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Solution

The third proportional to 24,549 and 53,109 is: 114,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549 : 53,109 = 53,109 : x
  2. Step 2: Convert to fraction form
    24,549/53,109 = 53,109/x
  3. Step 3: Cross multiply
    24,549x = 53,109 × 53,109
  4. Step 4: Simplify right side
    24,549x = 2,820,565,881
  5. Step 5: Solve for x
    x = 2,820,565,881/24,549
  6. Step 6: Final answer
    x = 114,895.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.