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Finding the Third Proportional to 27,243 and 59,571

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Solution

The third proportional to 27,243 and 59,571 is: 130,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243 : 59,571 = 59,571 : x
  2. Step 2: Convert to fraction form
    27,243/59,571 = 59,571/x
  3. Step 3: Cross multiply
    27,243x = 59,571 × 59,571
  4. Step 4: Simplify right side
    27,243x = 3,548,704,041
  5. Step 5: Solve for x
    x = 3,548,704,041/27,243
  6. Step 6: Final answer
    x = 130,261.13

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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.