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Finding the Third Proportional to 12,324 and 25,527

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Solution

The third proportional to 12,324 and 25,527 is: 52,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324 : 25,527 = 25,527 : x
  2. Step 2: Convert to fraction form
    12,324/25,527 = 25,527/x
  3. Step 3: Cross multiply
    12,324x = 25,527 × 25,527
  4. Step 4: Simplify right side
    12,324x = 651,627,729
  5. Step 5: Solve for x
    x = 651,627,729/12,324
  6. Step 6: Final answer
    x = 52,874.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.