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Finding the Third Proportional to 35,642.25 and 55,434.38

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Solution

The third proportional to 35,642.25 and 55,434.38 is: 86,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.25 : 55,434.38 = 55,434.38 : x
  2. Step 2: Convert to fraction form
    35,642.25/55,434.38 = 55,434.38/x
  3. Step 3: Cross multiply
    35,642.25x = 55,434.38 × 55,434.38
  4. Step 4: Simplify right side
    35,642.25x = 3,072,969,931.64
  5. Step 5: Solve for x
    x = 3,072,969,931.64/35,642.25
  6. Step 6: Final answer
    x = 86,217.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.