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Finding the Third Proportional to 11,502.75 and 24,645

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Solution

The third proportional to 11,502.75 and 24,645 is: 52,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.75 : 24,645 = 24,645 : x
  2. Step 2: Convert to fraction form
    11,502.75/24,645 = 24,645/x
  3. Step 3: Cross multiply
    11,502.75x = 24,645 × 24,645
  4. Step 4: Simplify right side
    11,502.75x = 607,376,025
  5. Step 5: Solve for x
    x = 607,376,025/11,502.75
  6. Step 6: Final answer
    x = 52,802.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.