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Finding the Third Proportional to 24,693.75 and 48,136.50

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Solution

The third proportional to 24,693.75 and 48,136.50 is: 93,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,693.75 : 48,136.50 = 48,136.50 : x
  2. Step 2: Convert to fraction form
    24,693.75/48,136.50 = 48,136.50/x
  3. Step 3: Cross multiply
    24,693.75x = 48,136.50 × 48,136.50
  4. Step 4: Simplify right side
    24,693.75x = 2,317,122,632.25
  5. Step 5: Solve for x
    x = 2,317,122,632.25/24,693.75
  6. Step 6: Final answer
    x = 93,834.38

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.