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Finding the Third Proportional to 2,424 and 4,288

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Solution

The third proportional to 2,424 and 4,288 is: 7,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424 : 4,288 = 4,288 : x
  2. Step 2: Convert to fraction form
    2,424/4,288 = 4,288/x
  3. Step 3: Cross multiply
    2,424x = 4,288 × 4,288
  4. Step 4: Simplify right side
    2,424x = 18,386,944
  5. Step 5: Solve for x
    x = 18,386,944/2,424
  6. Step 6: Final answer
    x = 7,585.37

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.