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Finding the Third Proportional to 1,015.13 and 1,530.19

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Solution

The third proportional to 1,015.13 and 1,530.19 is: 2,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.13 : 1,530.19 = 1,530.19 : x
  2. Step 2: Convert to fraction form
    1,015.13/1,530.19 = 1,530.19/x
  3. Step 3: Cross multiply
    1,015.13x = 1,530.19 × 1,530.19
  4. Step 4: Simplify right side
    1,015.13x = 2,341,473.79
  5. Step 5: Solve for x
    x = 2,341,473.79/1,015.13
  6. Step 6: Final answer
    x = 2,306.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.