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Finding the Third Proportional to 3,244.50 and 6,590.25

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Solution

The third proportional to 3,244.50 and 6,590.25 is: 13,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.50 : 6,590.25 = 6,590.25 : x
  2. Step 2: Convert to fraction form
    3,244.50/6,590.25 = 6,590.25/x
  3. Step 3: Cross multiply
    3,244.50x = 6,590.25 × 6,590.25
  4. Step 4: Simplify right side
    3,244.50x = 43,431,395.06
  5. Step 5: Solve for x
    x = 43,431,395.06/3,244.50
  6. Step 6: Final answer
    x = 13,386.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.