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Finding the Third Proportional to 3,488.88 and 7,223.13

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Solution

The third proportional to 3,488.88 and 7,223.13 is: 14,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.88 : 7,223.13 = 7,223.13 : x
  2. Step 2: Convert to fraction form
    3,488.88/7,223.13 = 7,223.13/x
  3. Step 3: Cross multiply
    3,488.88x = 7,223.13 × 7,223.13
  4. Step 4: Simplify right side
    3,488.88x = 52,173,534.77
  5. Step 5: Solve for x
    x = 52,173,534.77/3,488.88
  6. Step 6: Final answer
    x = 14,954.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.