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Finding the Third Proportional to 7,785.75 and 16,377

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Solution

The third proportional to 7,785.75 and 16,377 is: 34,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.75 : 16,377 = 16,377 : x
  2. Step 2: Convert to fraction form
    7,785.75/16,377 = 16,377/x
  3. Step 3: Cross multiply
    7,785.75x = 16,377 × 16,377
  4. Step 4: Simplify right side
    7,785.75x = 268,206,129
  5. Step 5: Solve for x
    x = 268,206,129/7,785.75
  6. Step 6: Final answer
    x = 34,448.34

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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.