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Finding the Third Proportional to 736.88 and 1,107.13

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Solution

The third proportional to 736.88 and 1,107.13 is: 1,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.88 : 1,107.13 = 1,107.13 : x
  2. Step 2: Convert to fraction form
    736.88/1,107.13 = 1,107.13/x
  3. Step 3: Cross multiply
    736.88x = 1,107.13 × 1,107.13
  4. Step 4: Simplify right side
    736.88x = 1,225,725.77
  5. Step 5: Solve for x
    x = 1,225,725.77/736.88
  6. Step 6: Final answer
    x = 1,663.41

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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.