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Finding the Third Proportional to 18,426.50 and 43,316

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Solution

The third proportional to 18,426.50 and 43,316 is: 101,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,426.50 : 43,316 = 43,316 : x
  2. Step 2: Convert to fraction form
    18,426.50/43,316 = 43,316/x
  3. Step 3: Cross multiply
    18,426.50x = 43,316 × 43,316
  4. Step 4: Simplify right side
    18,426.50x = 1,876,275,856
  5. Step 5: Solve for x
    x = 1,876,275,856/18,426.50
  6. Step 6: Final answer
    x = 101,824.86

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.