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Finding the Third Proportional to 1,349.16 and 1,897.17

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Solution

The third proportional to 1,349.16 and 1,897.17 is: 2,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.16 : 1,897.17 = 1,897.17 : x
  2. Step 2: Convert to fraction form
    1,349.16/1,897.17 = 1,897.17/x
  3. Step 3: Cross multiply
    1,349.16x = 1,897.17 × 1,897.17
  4. Step 4: Simplify right side
    1,349.16x = 3,599,261.12
  5. Step 5: Solve for x
    x = 3,599,261.12/1,349.16
  6. Step 6: Final answer
    x = 2,667.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.