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Finding the Third Proportional to 6,090 and 7,887

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Solution

The third proportional to 6,090 and 7,887 is: 10,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090 : 7,887 = 7,887 : x
  2. Step 2: Convert to fraction form
    6,090/7,887 = 7,887/x
  3. Step 3: Cross multiply
    6,090x = 7,887 × 7,887
  4. Step 4: Simplify right side
    6,090x = 62,204,769
  5. Step 5: Solve for x
    x = 62,204,769/6,090
  6. Step 6: Final answer
    x = 10,214.25

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.