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Finding the Third Proportional to 24,780.94 and 35,326.13

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Solution

The third proportional to 24,780.94 and 35,326.13 is: 50,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780.94 : 35,326.13 = 35,326.13 : x
  2. Step 2: Convert to fraction form
    24,780.94/35,326.13 = 35,326.13/x
  3. Step 3: Cross multiply
    24,780.94x = 35,326.13 × 35,326.13
  4. Step 4: Simplify right side
    24,780.94x = 1,247,935,107.52
  5. Step 5: Solve for x
    x = 1,247,935,107.52/24,780.94
  6. Step 6: Final answer
    x = 50,358.67

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.