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Finding the Third Proportional to 6,586 and 7,810

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Solution

The third proportional to 6,586 and 7,810 is: 9,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586 : 7,810 = 7,810 : x
  2. Step 2: Convert to fraction form
    6,586/7,810 = 7,810/x
  3. Step 3: Cross multiply
    6,586x = 7,810 × 7,810
  4. Step 4: Simplify right side
    6,586x = 60,996,100
  5. Step 5: Solve for x
    x = 60,996,100/6,586
  6. Step 6: Final answer
    x = 9,261.48

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.