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Finding the Third Proportional to 42,464.25 and 73,983.38

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Solution

The third proportional to 42,464.25 and 73,983.38 is: 128,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,464.25 : 73,983.38 = 73,983.38 : x
  2. Step 2: Convert to fraction form
    42,464.25/73,983.38 = 73,983.38/x
  3. Step 3: Cross multiply
    42,464.25x = 73,983.38 × 73,983.38
  4. Step 4: Simplify right side
    42,464.25x = 5,473,539,776.39
  5. Step 5: Solve for x
    x = 5,473,539,776.39/42,464.25
  6. Step 6: Final answer
    x = 128,897.60

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.