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Finding the Third Proportional to 24,416.75 and 51,833.04

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Solution

The third proportional to 24,416.75 and 51,833.04 is: 110,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.75 : 51,833.04 = 51,833.04 : x
  2. Step 2: Convert to fraction form
    24,416.75/51,833.04 = 51,833.04/x
  3. Step 3: Cross multiply
    24,416.75x = 51,833.04 × 51,833.04
  4. Step 4: Simplify right side
    24,416.75x = 2,686,663,938.45
  5. Step 5: Solve for x
    x = 2,686,663,938.45/24,416.75
  6. Step 6: Final answer
    x = 110,033.62

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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.