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Finding the Third Proportional to 16,542.56 and 35,864.44

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Solution

The third proportional to 16,542.56 and 35,864.44 is: 77,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.56 : 35,864.44 = 35,864.44 : x
  2. Step 2: Convert to fraction form
    16,542.56/35,864.44 = 35,864.44/x
  3. Step 3: Cross multiply
    16,542.56x = 35,864.44 × 35,864.44
  4. Step 4: Simplify right side
    16,542.56x = 1,286,257,877.19
  5. Step 5: Solve for x
    x = 1,286,257,877.19/16,542.56
  6. Step 6: Final answer
    x = 77,754.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.