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Finding the Third Proportional to 1,587 and 3,467.75

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Solution

The third proportional to 1,587 and 3,467.75 is: 7,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587 : 3,467.75 = 3,467.75 : x
  2. Step 2: Convert to fraction form
    1,587/3,467.75 = 3,467.75/x
  3. Step 3: Cross multiply
    1,587x = 3,467.75 × 3,467.75
  4. Step 4: Simplify right side
    1,587x = 12,025,290.06
  5. Step 5: Solve for x
    x = 12,025,290.06/1,587
  6. Step 6: Final answer
    x = 7,577.37

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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.