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Finding the Third Proportional to 3,210.19 and 7,011.19

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Solution

The third proportional to 3,210.19 and 7,011.19 is: 15,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.19 : 7,011.19 = 7,011.19 : x
  2. Step 2: Convert to fraction form
    3,210.19/7,011.19 = 7,011.19/x
  3. Step 3: Cross multiply
    3,210.19x = 7,011.19 × 7,011.19
  4. Step 4: Simplify right side
    3,210.19x = 49,156,750.16
  5. Step 5: Solve for x
    x = 49,156,750.16/3,210.19
  6. Step 6: Final answer
    x = 15,312.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.