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Finding the Third Proportional to 24,384.38 and 45,852.75

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Solution

The third proportional to 24,384.38 and 45,852.75 is: 86,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.38 : 45,852.75 = 45,852.75 : x
  2. Step 2: Convert to fraction form
    24,384.38/45,852.75 = 45,852.75/x
  3. Step 3: Cross multiply
    24,384.38x = 45,852.75 × 45,852.75
  4. Step 4: Simplify right side
    24,384.38x = 2,102,474,682.56
  5. Step 5: Solve for x
    x = 2,102,474,682.56/24,384.38
  6. Step 6: Final answer
    x = 86,222.21

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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.