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Finding the Third Proportional to 4,210.97 and 7,017.70

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Solution

The third proportional to 4,210.97 and 7,017.70 is: 11,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.97 : 7,017.70 = 7,017.70 : x
  2. Step 2: Convert to fraction form
    4,210.97/7,017.70 = 7,017.70/x
  3. Step 3: Cross multiply
    4,210.97x = 7,017.70 × 7,017.70
  4. Step 4: Simplify right side
    4,210.97x = 49,248,157.15
  5. Step 5: Solve for x
    x = 49,248,157.15/4,210.97
  6. Step 6: Final answer
    x = 11,695.21

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.