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Finding the Third Proportional to 27,315 and 37,382

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Solution

The third proportional to 27,315 and 37,382 is: 51,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,315 : 37,382 = 37,382 : x
  2. Step 2: Convert to fraction form
    27,315/37,382 = 37,382/x
  3. Step 3: Cross multiply
    27,315x = 37,382 × 37,382
  4. Step 4: Simplify right side
    27,315x = 1,397,413,924
  5. Step 5: Solve for x
    x = 1,397,413,924/27,315
  6. Step 6: Final answer
    x = 51,159.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.