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Finding the Third Proportional to 25,317 and 54,527

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Solution

The third proportional to 25,317 and 54,527 is: 117,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,317 : 54,527 = 54,527 : x
  2. Step 2: Convert to fraction form
    25,317/54,527 = 54,527/x
  3. Step 3: Cross multiply
    25,317x = 54,527 × 54,527
  4. Step 4: Simplify right side
    25,317x = 2,973,193,729
  5. Step 5: Solve for x
    x = 2,973,193,729/25,317
  6. Step 6: Final answer
    x = 117,438.63

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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.