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Finding the Third Proportional to 1,252.97 and 1,974.38

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Solution

The third proportional to 1,252.97 and 1,974.38 is: 3,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.97 : 1,974.38 = 1,974.38 : x
  2. Step 2: Convert to fraction form
    1,252.97/1,974.38 = 1,974.38/x
  3. Step 3: Cross multiply
    1,252.97x = 1,974.38 × 1,974.38
  4. Step 4: Simplify right side
    1,252.97x = 3,898,156.64
  5. Step 5: Solve for x
    x = 3,898,156.64/1,252.97
  6. Step 6: Final answer
    x = 3,111.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.