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Finding the Third Proportional to 35,337.09 and 54,646.03

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Solution

The third proportional to 35,337.09 and 54,646.03 is: 84,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,337.09 : 54,646.03 = 54,646.03 : x
  2. Step 2: Convert to fraction form
    35,337.09/54,646.03 = 54,646.03/x
  3. Step 3: Cross multiply
    35,337.09x = 54,646.03 × 54,646.03
  4. Step 4: Simplify right side
    35,337.09x = 2,986,188,731.38
  5. Step 5: Solve for x
    x = 2,986,188,731.38/35,337.09
  6. Step 6: Final answer
    x = 84,505.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.