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Finding the Third Proportional to 19,984.38 and 42,738.10

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Solution

The third proportional to 19,984.38 and 42,738.10 is: 91,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.38 : 42,738.10 = 42,738.10 : x
  2. Step 2: Convert to fraction form
    19,984.38/42,738.10 = 42,738.10/x
  3. Step 3: Cross multiply
    19,984.38x = 42,738.10 × 42,738.10
  4. Step 4: Simplify right side
    19,984.38x = 1,826,545,158.22
  5. Step 5: Solve for x
    x = 1,826,545,158.22/19,984.38
  6. Step 6: Final answer
    x = 91,398.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.