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Finding the Third Proportional to 4,705.59 and 10,223.72

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Solution

The third proportional to 4,705.59 and 10,223.72 is: 22,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.59 : 10,223.72 = 10,223.72 : x
  2. Step 2: Convert to fraction form
    4,705.59/10,223.72 = 10,223.72/x
  3. Step 3: Cross multiply
    4,705.59x = 10,223.72 × 10,223.72
  4. Step 4: Simplify right side
    4,705.59x = 104,524,425.08
  5. Step 5: Solve for x
    x = 104,524,425.08/4,705.59
  6. Step 6: Final answer
    x = 22,212.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.