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Finding the Third Proportional to 24,855 and 53,391

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Solution

The third proportional to 24,855 and 53,391 is: 114,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,855 : 53,391 = 53,391 : x
  2. Step 2: Convert to fraction form
    24,855/53,391 = 53,391/x
  3. Step 3: Cross multiply
    24,855x = 53,391 × 53,391
  4. Step 4: Simplify right side
    24,855x = 2,850,598,881
  5. Step 5: Solve for x
    x = 2,850,598,881/24,855
  6. Step 6: Final answer
    x = 114,689.15

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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.