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Finding the Third Proportional to 24,824.25 and 58,551.19

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Solution

The third proportional to 24,824.25 and 58,551.19 is: 138,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.25 : 58,551.19 = 58,551.19 : x
  2. Step 2: Convert to fraction form
    24,824.25/58,551.19 = 58,551.19/x
  3. Step 3: Cross multiply
    24,824.25x = 58,551.19 × 58,551.19
  4. Step 4: Simplify right side
    24,824.25x = 3,428,241,557.66
  5. Step 5: Solve for x
    x = 3,428,241,557.66/24,824.25
  6. Step 6: Final answer
    x = 138,100.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.