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Finding the Third Proportional to 10,459 and 22,011

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Solution

The third proportional to 10,459 and 22,011 is: 46,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459 : 22,011 = 22,011 : x
  2. Step 2: Convert to fraction form
    10,459/22,011 = 22,011/x
  3. Step 3: Cross multiply
    10,459x = 22,011 × 22,011
  4. Step 4: Simplify right side
    10,459x = 484,484,121
  5. Step 5: Solve for x
    x = 484,484,121/10,459
  6. Step 6: Final answer
    x = 46,322.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.