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Finding the Third Proportional to 10,491 and 21,468

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Solution

The third proportional to 10,491 and 21,468 is: 43,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491 : 21,468 = 21,468 : x
  2. Step 2: Convert to fraction form
    10,491/21,468 = 21,468/x
  3. Step 3: Cross multiply
    10,491x = 21,468 × 21,468
  4. Step 4: Simplify right side
    10,491x = 460,875,024
  5. Step 5: Solve for x
    x = 460,875,024/10,491
  6. Step 6: Final answer
    x = 43,930.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.