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Finding the Third Proportional to 26,466 and 57,252

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Solution

The third proportional to 26,466 and 57,252 is: 123,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,466 : 57,252 = 57,252 : x
  2. Step 2: Convert to fraction form
    26,466/57,252 = 57,252/x
  3. Step 3: Cross multiply
    26,466x = 57,252 × 57,252
  4. Step 4: Simplify right side
    26,466x = 3,277,791,504
  5. Step 5: Solve for x
    x = 3,277,791,504/26,466
  6. Step 6: Final answer
    x = 123,849.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.