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Finding the Third Proportional to 27,314 and 57,862

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Solution

The third proportional to 27,314 and 57,862 is: 122,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314 : 57,862 = 57,862 : x
  2. Step 2: Convert to fraction form
    27,314/57,862 = 57,862/x
  3. Step 3: Cross multiply
    27,314x = 57,862 × 57,862
  4. Step 4: Simplify right side
    27,314x = 3,348,011,044
  5. Step 5: Solve for x
    x = 3,348,011,044/27,314
  6. Step 6: Final answer
    x = 122,574.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.