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Finding the Third Proportional to 24,159.75 and 34,022.25

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Solution

The third proportional to 24,159.75 and 34,022.25 is: 47,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,159.75 : 34,022.25 = 34,022.25 : x
  2. Step 2: Convert to fraction form
    24,159.75/34,022.25 = 34,022.25/x
  3. Step 3: Cross multiply
    24,159.75x = 34,022.25 × 34,022.25
  4. Step 4: Simplify right side
    24,159.75x = 1,157,513,495.06
  5. Step 5: Solve for x
    x = 1,157,513,495.06/24,159.75
  6. Step 6: Final answer
    x = 47,910.82

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.