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Finding the Third Proportional to 11,394 and 24,659

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Solution

The third proportional to 11,394 and 24,659 is: 53,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394 : 24,659 = 24,659 : x
  2. Step 2: Convert to fraction form
    11,394/24,659 = 24,659/x
  3. Step 3: Cross multiply
    11,394x = 24,659 × 24,659
  4. Step 4: Simplify right side
    11,394x = 608,066,281
  5. Step 5: Solve for x
    x = 608,066,281/11,394
  6. Step 6: Final answer
    x = 53,367.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.