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Finding the Third Proportional to 24,834.09 and 53,219.53

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Solution

The third proportional to 24,834.09 and 53,219.53 is: 114,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834.09 : 53,219.53 = 53,219.53 : x
  2. Step 2: Convert to fraction form
    24,834.09/53,219.53 = 53,219.53/x
  3. Step 3: Cross multiply
    24,834.09x = 53,219.53 × 53,219.53
  4. Step 4: Simplify right side
    24,834.09x = 2,832,318,506.47
  5. Step 5: Solve for x
    x = 2,832,318,506.47/24,834.09
  6. Step 6: Final answer
    x = 114,049.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.