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Finding the Third Proportional to 729.84 and 1,595.53

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Solution

The third proportional to 729.84 and 1,595.53 is: 3,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.84 : 1,595.53 = 1,595.53 : x
  2. Step 2: Convert to fraction form
    729.84/1,595.53 = 1,595.53/x
  3. Step 3: Cross multiply
    729.84x = 1,595.53 × 1,595.53
  4. Step 4: Simplify right side
    729.84x = 2,545,719.97
  5. Step 5: Solve for x
    x = 2,545,719.97/729.84
  6. Step 6: Final answer
    x = 3,488.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.