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Finding the Third Proportional to 7,830 and 16,961.06

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Solution

The third proportional to 7,830 and 16,961.06 is: 36,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830 : 16,961.06 = 16,961.06 : x
  2. Step 2: Convert to fraction form
    7,830/16,961.06 = 16,961.06/x
  3. Step 3: Cross multiply
    7,830x = 16,961.06 × 16,961.06
  4. Step 4: Simplify right side
    7,830x = 287,677,641.13
  5. Step 5: Solve for x
    x = 287,677,641.13/7,830
  6. Step 6: Final answer
    x = 36,740.44

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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.