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Finding the Third Proportional to 1,595.81 and 3,060.19

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Solution

The third proportional to 1,595.81 and 3,060.19 is: 5,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.81 : 3,060.19 = 3,060.19 : x
  2. Step 2: Convert to fraction form
    1,595.81/3,060.19 = 3,060.19/x
  3. Step 3: Cross multiply
    1,595.81x = 3,060.19 × 3,060.19
  4. Step 4: Simplify right side
    1,595.81x = 9,364,747.54
  5. Step 5: Solve for x
    x = 9,364,747.54/1,595.81
  6. Step 6: Final answer
    x = 5,868.33

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.