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Finding the Third Proportional to 4,870 and 7,331

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Solution

The third proportional to 4,870 and 7,331 is: 11,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870 : 7,331 = 7,331 : x
  2. Step 2: Convert to fraction form
    4,870/7,331 = 7,331/x
  3. Step 3: Cross multiply
    4,870x = 7,331 × 7,331
  4. Step 4: Simplify right side
    4,870x = 53,743,561
  5. Step 5: Solve for x
    x = 53,743,561/4,870
  6. Step 6: Final answer
    x = 11,035.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.