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Finding the Third Proportional to 24,117.75 and 50,417.44

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Solution

The third proportional to 24,117.75 and 50,417.44 is: 105,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.75 : 50,417.44 = 50,417.44 : x
  2. Step 2: Convert to fraction form
    24,117.75/50,417.44 = 50,417.44/x
  3. Step 3: Cross multiply
    24,117.75x = 50,417.44 × 50,417.44
  4. Step 4: Simplify right side
    24,117.75x = 2,541,918,004.07
  5. Step 5: Solve for x
    x = 2,541,918,004.07/24,117.75
  6. Step 6: Final answer
    x = 105,396.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.