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Finding the Third Proportional to 10,441 and 21,572

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Solution

The third proportional to 10,441 and 21,572 is: 44,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441 : 21,572 = 21,572 : x
  2. Step 2: Convert to fraction form
    10,441/21,572 = 21,572/x
  3. Step 3: Cross multiply
    10,441x = 21,572 × 21,572
  4. Step 4: Simplify right side
    10,441x = 465,351,184
  5. Step 5: Solve for x
    x = 465,351,184/10,441
  6. Step 6: Final answer
    x = 44,569.60

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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.