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Finding the Third Proportional to 3,312.06 and 7,007.53

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Solution

The third proportional to 3,312.06 and 7,007.53 is: 14,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.06 : 7,007.53 = 7,007.53 : x
  2. Step 2: Convert to fraction form
    3,312.06/7,007.53 = 7,007.53/x
  3. Step 3: Cross multiply
    3,312.06x = 7,007.53 × 7,007.53
  4. Step 4: Simplify right side
    3,312.06x = 49,105,494.22
  5. Step 5: Solve for x
    x = 49,105,494.22/3,312.06
  6. Step 6: Final answer
    x = 14,826.26

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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.