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Finding the Third Proportional to 18,954 and 43,345.13

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Solution

The third proportional to 18,954 and 43,345.13 is: 99,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,954 : 43,345.13 = 43,345.13 : x
  2. Step 2: Convert to fraction form
    18,954/43,345.13 = 43,345.13/x
  3. Step 3: Cross multiply
    18,954x = 43,345.13 × 43,345.13
  4. Step 4: Simplify right side
    18,954x = 1,878,799,861.27
  5. Step 5: Solve for x
    x = 1,878,799,861.27/18,954
  6. Step 6: Final answer
    x = 99,124.19

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.