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Finding the Third Proportional to 7,796 and 16,565.50

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Solution

The third proportional to 7,796 and 16,565.50 is: 35,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796 : 16,565.50 = 16,565.50 : x
  2. Step 2: Convert to fraction form
    7,796/16,565.50 = 16,565.50/x
  3. Step 3: Cross multiply
    7,796x = 16,565.50 × 16,565.50
  4. Step 4: Simplify right side
    7,796x = 274,415,790.25
  5. Step 5: Solve for x
    x = 274,415,790.25/7,796
  6. Step 6: Final answer
    x = 35,199.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.