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Finding the Third Proportional to 3,113.12 and 6,718.22

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Solution

The third proportional to 3,113.12 and 6,718.22 is: 14,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.12 : 6,718.22 = 6,718.22 : x
  2. Step 2: Convert to fraction form
    3,113.12/6,718.22 = 6,718.22/x
  3. Step 3: Cross multiply
    3,113.12x = 6,718.22 × 6,718.22
  4. Step 4: Simplify right side
    3,113.12x = 45,134,463.17
  5. Step 5: Solve for x
    x = 45,134,463.17/3,113.12
  6. Step 6: Final answer
    x = 14,498.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.