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Finding the Third Proportional to 16,791 and 35,306.25

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Solution

The third proportional to 16,791 and 35,306.25 is: 74,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,791 : 35,306.25 = 35,306.25 : x
  2. Step 2: Convert to fraction form
    16,791/35,306.25 = 35,306.25/x
  3. Step 3: Cross multiply
    16,791x = 35,306.25 × 35,306.25
  4. Step 4: Simplify right side
    16,791x = 1,246,531,289.06
  5. Step 5: Solve for x
    x = 1,246,531,289.06/16,791
  6. Step 6: Final answer
    x = 74,238.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.