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Finding the Third Proportional to 2,377 and 2,585

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Solution

The third proportional to 2,377 and 2,585 is: 2,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377 : 2,585 = 2,585 : x
  2. Step 2: Convert to fraction form
    2,377/2,585 = 2,585/x
  3. Step 3: Cross multiply
    2,377x = 2,585 × 2,585
  4. Step 4: Simplify right side
    2,377x = 6,682,225
  5. Step 5: Solve for x
    x = 6,682,225/2,377
  6. Step 6: Final answer
    x = 2,811.20

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.