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Finding the Third Proportional to 45,038.25 and 67,305.38

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Solution

The third proportional to 45,038.25 and 67,305.38 is: 100,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,038.25 : 67,305.38 = 67,305.38 : x
  2. Step 2: Convert to fraction form
    45,038.25/67,305.38 = 67,305.38/x
  3. Step 3: Cross multiply
    45,038.25x = 67,305.38 × 67,305.38
  4. Step 4: Simplify right side
    45,038.25x = 4,530,013,503.89
  5. Step 5: Solve for x
    x = 4,530,013,503.89/45,038.25
  6. Step 6: Final answer
    x = 100,581.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.