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Finding the Third Proportional to 18,726.19 and 43,056.56

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Solution

The third proportional to 18,726.19 and 43,056.56 is: 98,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,726.19 : 43,056.56 = 43,056.56 : x
  2. Step 2: Convert to fraction form
    18,726.19/43,056.56 = 43,056.56/x
  3. Step 3: Cross multiply
    18,726.19x = 43,056.56 × 43,056.56
  4. Step 4: Simplify right side
    18,726.19x = 1,853,867,574.32
  5. Step 5: Solve for x
    x = 1,853,867,574.32/18,726.19
  6. Step 6: Final answer
    x = 98,998.67

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.