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Finding the Third Proportional to 2,585 and 6,165.50

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Solution

The third proportional to 2,585 and 6,165.50 is: 14,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585 : 6,165.50 = 6,165.50 : x
  2. Step 2: Convert to fraction form
    2,585/6,165.50 = 6,165.50/x
  3. Step 3: Cross multiply
    2,585x = 6,165.50 × 6,165.50
  4. Step 4: Simplify right side
    2,585x = 38,013,390.25
  5. Step 5: Solve for x
    x = 38,013,390.25/2,585
  6. Step 6: Final answer
    x = 14,705.37

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.