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Finding the Third Proportional to 24,532.88 and 54,617.63

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Solution

The third proportional to 24,532.88 and 54,617.63 is: 121,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.88 : 54,617.63 = 54,617.63 : x
  2. Step 2: Convert to fraction form
    24,532.88/54,617.63 = 54,617.63/x
  3. Step 3: Cross multiply
    24,532.88x = 54,617.63 × 54,617.63
  4. Step 4: Simplify right side
    24,532.88x = 2,983,084,960.64
  5. Step 5: Solve for x
    x = 2,983,084,960.64/24,532.88
  6. Step 6: Final answer
    x = 121,595.41

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.