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Finding the Third Proportional to 5,080 and 5,810

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Solution

The third proportional to 5,080 and 5,810 is: 6,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,080 : 5,810 = 5,810 : x
  2. Step 2: Convert to fraction form
    5,080/5,810 = 5,810/x
  3. Step 3: Cross multiply
    5,080x = 5,810 × 5,810
  4. Step 4: Simplify right side
    5,080x = 33,756,100
  5. Step 5: Solve for x
    x = 33,756,100/5,080
  6. Step 6: Final answer
    x = 6,644.90

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.