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Finding the Third Proportional to 24,811.50 and 58,521.75

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Solution

The third proportional to 24,811.50 and 58,521.75 is: 138,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811.50 : 58,521.75 = 58,521.75 : x
  2. Step 2: Convert to fraction form
    24,811.50/58,521.75 = 58,521.75/x
  3. Step 3: Cross multiply
    24,811.50x = 58,521.75 × 58,521.75
  4. Step 4: Simplify right side
    24,811.50x = 3,424,795,223.06
  5. Step 5: Solve for x
    x = 3,424,795,223.06/24,811.50
  6. Step 6: Final answer
    x = 138,032.57

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