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Finding the Third Proportional to 27,527 and 60,313

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Solution

The third proportional to 27,527 and 60,313 is: 132,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,527 : 60,313 = 60,313 : x
  2. Step 2: Convert to fraction form
    27,527/60,313 = 60,313/x
  3. Step 3: Cross multiply
    27,527x = 60,313 × 60,313
  4. Step 4: Simplify right side
    27,527x = 3,637,657,969
  5. Step 5: Solve for x
    x = 3,637,657,969/27,527
  6. Step 6: Final answer
    x = 132,148.73

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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.