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Finding the Third Proportional to 10,482.22 and 22,694.40

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Solution

The third proportional to 10,482.22 and 22,694.40 is: 49,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.22 : 22,694.40 = 22,694.40 : x
  2. Step 2: Convert to fraction form
    10,482.22/22,694.40 = 22,694.40/x
  3. Step 3: Cross multiply
    10,482.22x = 22,694.40 × 22,694.40
  4. Step 4: Simplify right side
    10,482.22x = 515,035,631.79
  5. Step 5: Solve for x
    x = 515,035,631.79/10,482.22
  6. Step 6: Final answer
    x = 49,134.20

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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.