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Finding the Third Proportional to 2,223.07 and 4,720.46

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Solution

The third proportional to 2,223.07 and 4,720.46 is: 10,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.07 : 4,720.46 = 4,720.46 : x
  2. Step 2: Convert to fraction form
    2,223.07/4,720.46 = 4,720.46/x
  3. Step 3: Cross multiply
    2,223.07x = 4,720.46 × 4,720.46
  4. Step 4: Simplify right side
    2,223.07x = 22,282,788.34
  5. Step 5: Solve for x
    x = 22,282,788.34/2,223.07
  6. Step 6: Final answer
    x = 10,023.43

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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.