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Finding the Third Proportional to 25,018 and 53,862

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Solution

The third proportional to 25,018 and 53,862 is: 115,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,018 : 53,862 = 53,862 : x
  2. Step 2: Convert to fraction form
    25,018/53,862 = 53,862/x
  3. Step 3: Cross multiply
    25,018x = 53,862 × 53,862
  4. Step 4: Simplify right side
    25,018x = 2,901,115,044
  5. Step 5: Solve for x
    x = 2,901,115,044/25,018
  6. Step 6: Final answer
    x = 115,961.11

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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.