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Finding the Third Proportional to 1,585.69 and 2,427.19

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Solution

The third proportional to 1,585.69 and 2,427.19 is: 3,715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.69 : 2,427.19 = 2,427.19 : x
  2. Step 2: Convert to fraction form
    1,585.69/2,427.19 = 2,427.19/x
  3. Step 3: Cross multiply
    1,585.69x = 2,427.19 × 2,427.19
  4. Step 4: Simplify right side
    1,585.69x = 5,891,239.16
  5. Step 5: Solve for x
    x = 5,891,239.16/1,585.69
  6. Step 6: Final answer
    x = 3,715.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.