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Finding the Third Proportional to 1,574.06 and 2,473.69

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Solution

The third proportional to 1,574.06 and 2,473.69 is: 3,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.06 : 2,473.69 = 2,473.69 : x
  2. Step 2: Convert to fraction form
    1,574.06/2,473.69 = 2,473.69/x
  3. Step 3: Cross multiply
    1,574.06x = 2,473.69 × 2,473.69
  4. Step 4: Simplify right side
    1,574.06x = 6,119,129.85
  5. Step 5: Solve for x
    x = 6,119,129.85/1,574.06
  6. Step 6: Final answer
    x = 3,887.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.