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Finding the Third Proportional to 10,034 and 22,011

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Solution

The third proportional to 10,034 and 22,011 is: 48,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034 : 22,011 = 22,011 : x
  2. Step 2: Convert to fraction form
    10,034/22,011 = 22,011/x
  3. Step 3: Cross multiply
    10,034x = 22,011 × 22,011
  4. Step 4: Simplify right side
    10,034x = 484,484,121
  5. Step 5: Solve for x
    x = 484,484,121/10,034
  6. Step 6: Final answer
    x = 48,284.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.