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Finding the Third Proportional to 24,188.34 and 51,315.56

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Solution

The third proportional to 24,188.34 and 51,315.56 is: 108,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.34 : 51,315.56 = 51,315.56 : x
  2. Step 2: Convert to fraction form
    24,188.34/51,315.56 = 51,315.56/x
  3. Step 3: Cross multiply
    24,188.34x = 51,315.56 × 51,315.56
  4. Step 4: Simplify right side
    24,188.34x = 2,633,286,954.69
  5. Step 5: Solve for x
    x = 2,633,286,954.69/24,188.34
  6. Step 6: Final answer
    x = 108,865.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.