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Finding the Third Proportional to 2,409 and 4,464

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Solution

The third proportional to 2,409 and 4,464 is: 8,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409 : 4,464 = 4,464 : x
  2. Step 2: Convert to fraction form
    2,409/4,464 = 4,464/x
  3. Step 3: Cross multiply
    2,409x = 4,464 × 4,464
  4. Step 4: Simplify right side
    2,409x = 19,927,296
  5. Step 5: Solve for x
    x = 19,927,296/2,409
  6. Step 6: Final answer
    x = 8,272.02

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.