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Finding the Third Proportional to 8,210.95 and 17,005.78

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Solution

The third proportional to 8,210.95 and 17,005.78 is: 35,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.95 : 17,005.78 = 17,005.78 : x
  2. Step 2: Convert to fraction form
    8,210.95/17,005.78 = 17,005.78/x
  3. Step 3: Cross multiply
    8,210.95x = 17,005.78 × 17,005.78
  4. Step 4: Simplify right side
    8,210.95x = 289,196,595.92
  5. Step 5: Solve for x
    x = 289,196,595.92/8,210.95
  6. Step 6: Final answer
    x = 35,220.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.