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Finding the Third Proportional to 24,423.75 and 53,236.69

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Solution

The third proportional to 24,423.75 and 53,236.69 is: 116,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.75 : 53,236.69 = 53,236.69 : x
  2. Step 2: Convert to fraction form
    24,423.75/53,236.69 = 53,236.69/x
  3. Step 3: Cross multiply
    24,423.75x = 53,236.69 × 53,236.69
  4. Step 4: Simplify right side
    24,423.75x = 2,834,144,895.97
  5. Step 5: Solve for x
    x = 2,834,144,895.97/24,423.75
  6. Step 6: Final answer
    x = 116,040.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.