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Finding the Third Proportional to 16,747.13 and 35,923.13

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Solution

The third proportional to 16,747.13 and 35,923.13 is: 77,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,747.13 : 35,923.13 = 35,923.13 : x
  2. Step 2: Convert to fraction form
    16,747.13/35,923.13 = 35,923.13/x
  3. Step 3: Cross multiply
    16,747.13x = 35,923.13 × 35,923.13
  4. Step 4: Simplify right side
    16,747.13x = 1,290,470,909.77
  5. Step 5: Solve for x
    x = 1,290,470,909.77/16,747.13
  6. Step 6: Final answer
    x = 77,056.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.