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Finding the Third Proportional to 10,449 and 22,355

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Solution

The third proportional to 10,449 and 22,355 is: 47,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449 : 22,355 = 22,355 : x
  2. Step 2: Convert to fraction form
    10,449/22,355 = 22,355/x
  3. Step 3: Cross multiply
    10,449x = 22,355 × 22,355
  4. Step 4: Simplify right side
    10,449x = 499,746,025
  5. Step 5: Solve for x
    x = 499,746,025/10,449
  6. Step 6: Final answer
    x = 47,827.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.