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Finding the Third Proportional to 35,655.75 and 49,853.25

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Solution

The third proportional to 35,655.75 and 49,853.25 is: 69,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,655.75 : 49,853.25 = 49,853.25 : x
  2. Step 2: Convert to fraction form
    35,655.75/49,853.25 = 49,853.25/x
  3. Step 3: Cross multiply
    35,655.75x = 49,853.25 × 49,853.25
  4. Step 4: Simplify right side
    35,655.75x = 2,485,346,535.56
  5. Step 5: Solve for x
    x = 2,485,346,535.56/35,655.75
  6. Step 6: Final answer
    x = 69,703.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.