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Finding the Third Proportional to 27,527 and 60,328

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Solution

The third proportional to 27,527 and 60,328 is: 132,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,527 : 60,328 = 60,328 : x
  2. Step 2: Convert to fraction form
    27,527/60,328 = 60,328/x
  3. Step 3: Cross multiply
    27,527x = 60,328 × 60,328
  4. Step 4: Simplify right side
    27,527x = 3,639,467,584
  5. Step 5: Solve for x
    x = 3,639,467,584/27,527
  6. Step 6: Final answer
    x = 132,214.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.