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Finding the Third Proportional to 10,926.46 and 22,630.32

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Solution

The third proportional to 10,926.46 and 22,630.32 is: 46,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,926.46 : 22,630.32 = 22,630.32 : x
  2. Step 2: Convert to fraction form
    10,926.46/22,630.32 = 22,630.32/x
  3. Step 3: Cross multiply
    10,926.46x = 22,630.32 × 22,630.32
  4. Step 4: Simplify right side
    10,926.46x = 512,131,574.25
  5. Step 5: Solve for x
    x = 512,131,574.25/10,926.46
  6. Step 6: Final answer
    x = 46,870.78

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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.