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Finding the Third Proportional to 11,473.50 and 24,326

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Solution

The third proportional to 11,473.50 and 24,326 is: 51,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.50 : 24,326 = 24,326 : x
  2. Step 2: Convert to fraction form
    11,473.50/24,326 = 24,326/x
  3. Step 3: Cross multiply
    11,473.50x = 24,326 × 24,326
  4. Step 4: Simplify right side
    11,473.50x = 591,754,276
  5. Step 5: Solve for x
    x = 591,754,276/11,473.50
  6. Step 6: Final answer
    x = 51,575.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.