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Finding the Third Proportional to 18,045.19 and 38,065.13

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Solution

The third proportional to 18,045.19 and 38,065.13 is: 80,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,045.19 : 38,065.13 = 38,065.13 : x
  2. Step 2: Convert to fraction form
    18,045.19/38,065.13 = 38,065.13/x
  3. Step 3: Cross multiply
    18,045.19x = 38,065.13 × 38,065.13
  4. Step 4: Simplify right side
    18,045.19x = 1,448,953,741.27
  5. Step 5: Solve for x
    x = 1,448,953,741.27/18,045.19
  6. Step 6: Final answer
    x = 80,295.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.