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Finding the Third Proportional to 12,537 and 25,868

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Solution

The third proportional to 12,537 and 25,868 is: 53,374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537 : 25,868 = 25,868 : x
  2. Step 2: Convert to fraction form
    12,537/25,868 = 25,868/x
  3. Step 3: Cross multiply
    12,537x = 25,868 × 25,868
  4. Step 4: Simplify right side
    12,537x = 669,153,424
  5. Step 5: Solve for x
    x = 669,153,424/12,537
  6. Step 6: Final answer
    x = 53,374.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.