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Finding the Third Proportional to 1,301.34 and 1,951.17

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Solution

The third proportional to 1,301.34 and 1,951.17 is: 2,925.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.34 : 1,951.17 = 1,951.17 : x
  2. Step 2: Convert to fraction form
    1,301.34/1,951.17 = 1,951.17/x
  3. Step 3: Cross multiply
    1,301.34x = 1,951.17 × 1,951.17
  4. Step 4: Simplify right side
    1,301.34x = 3,807,071.69
  5. Step 5: Solve for x
    x = 3,807,071.69/1,301.34
  6. Step 6: Final answer
    x = 2,925.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.