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Finding the Third Proportional to 26,907 and 62,527

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Solution

The third proportional to 26,907 and 62,527 is: 145,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,907 : 62,527 = 62,527 : x
  2. Step 2: Convert to fraction form
    26,907/62,527 = 62,527/x
  3. Step 3: Cross multiply
    26,907x = 62,527 × 62,527
  4. Step 4: Simplify right side
    26,907x = 3,909,625,729
  5. Step 5: Solve for x
    x = 3,909,625,729/26,907
  6. Step 6: Final answer
    x = 145,301.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.