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Finding the Third Proportional to 10,594.13 and 24,635.81

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Solution

The third proportional to 10,594.13 and 24,635.81 is: 57,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.13 : 24,635.81 = 24,635.81 : x
  2. Step 2: Convert to fraction form
    10,594.13/24,635.81 = 24,635.81/x
  3. Step 3: Cross multiply
    10,594.13x = 24,635.81 × 24,635.81
  4. Step 4: Simplify right side
    10,594.13x = 606,923,257.54
  5. Step 5: Solve for x
    x = 606,923,257.54/10,594.13
  6. Step 6: Final answer
    x = 57,288.66

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.