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Finding the Third Proportional to 765.84 and 1,148.91

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Solution

The third proportional to 765.84 and 1,148.91 is: 1,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.84 : 1,148.91 = 1,148.91 : x
  2. Step 2: Convert to fraction form
    765.84/1,148.91 = 1,148.91/x
  3. Step 3: Cross multiply
    765.84x = 1,148.91 × 1,148.91
  4. Step 4: Simplify right side
    765.84x = 1,319,985.57
  5. Step 5: Solve for x
    x = 1,319,985.57/765.84
  6. Step 6: Final answer
    x = 1,723.57

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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.