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Finding the Third Proportional to 5,840 and 7,888

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Solution

The third proportional to 5,840 and 7,888 is: 10,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 7,888 = 7,888 : x
  2. Step 2: Convert to fraction form
    5,840/7,888 = 7,888/x
  3. Step 3: Cross multiply
    5,840x = 7,888 × 7,888
  4. Step 4: Simplify right side
    5,840x = 62,220,544
  5. Step 5: Solve for x
    x = 62,220,544/5,840
  6. Step 6: Final answer
    x = 10,654.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.