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Finding the Third Proportional to 10,444 and 22,406

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Solution

The third proportional to 10,444 and 22,406 is: 48,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444 : 22,406 = 22,406 : x
  2. Step 2: Convert to fraction form
    10,444/22,406 = 22,406/x
  3. Step 3: Cross multiply
    10,444x = 22,406 × 22,406
  4. Step 4: Simplify right side
    10,444x = 502,028,836
  5. Step 5: Solve for x
    x = 502,028,836/10,444
  6. Step 6: Final answer
    x = 48,068.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.