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Finding the Third Proportional to 3,290.06 and 4,431.94

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Solution

The third proportional to 3,290.06 and 4,431.94 is: 5,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.06 : 4,431.94 = 4,431.94 : x
  2. Step 2: Convert to fraction form
    3,290.06/4,431.94 = 4,431.94/x
  3. Step 3: Cross multiply
    3,290.06x = 4,431.94 × 4,431.94
  4. Step 4: Simplify right side
    3,290.06x = 19,642,070.00
  5. Step 5: Solve for x
    x = 19,642,070.00/3,290.06
  6. Step 6: Final answer
    x = 5,970.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.