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Finding the Third Proportional to 10,441 and 21,746

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Solution

The third proportional to 10,441 and 21,746 is: 45,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441 : 21,746 = 21,746 : x
  2. Step 2: Convert to fraction form
    10,441/21,746 = 21,746/x
  3. Step 3: Cross multiply
    10,441x = 21,746 × 21,746
  4. Step 4: Simplify right side
    10,441x = 472,888,516
  5. Step 5: Solve for x
    x = 472,888,516/10,441
  6. Step 6: Final answer
    x = 45,291.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.