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Finding the Third Proportional to 42,850.13 and 65,733.19

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Solution

The third proportional to 42,850.13 and 65,733.19 is: 100,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,850.13 : 65,733.19 = 65,733.19 : x
  2. Step 2: Convert to fraction form
    42,850.13/65,733.19 = 65,733.19/x
  3. Step 3: Cross multiply
    42,850.13x = 65,733.19 × 65,733.19
  4. Step 4: Simplify right side
    42,850.13x = 4,320,851,938.91
  5. Step 5: Solve for x
    x = 4,320,851,938.91/42,850.13
  6. Step 6: Final answer
    x = 100,836.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.