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Finding the Third Proportional to 5,105 and 5,585

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Solution

The third proportional to 5,105 and 5,585 is: 6,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105 : 5,585 = 5,585 : x
  2. Step 2: Convert to fraction form
    5,105/5,585 = 5,585/x
  3. Step 3: Cross multiply
    5,105x = 5,585 × 5,585
  4. Step 4: Simplify right side
    5,105x = 31,192,225
  5. Step 5: Solve for x
    x = 31,192,225/5,105
  6. Step 6: Final answer
    x = 6,110.13

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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.