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Finding the Third Proportional to 10,498 and 22,772

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Solution

The third proportional to 10,498 and 22,772 is: 49,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498 : 22,772 = 22,772 : x
  2. Step 2: Convert to fraction form
    10,498/22,772 = 22,772/x
  3. Step 3: Cross multiply
    10,498x = 22,772 × 22,772
  4. Step 4: Simplify right side
    10,498x = 518,563,984
  5. Step 5: Solve for x
    x = 518,563,984/10,498
  6. Step 6: Final answer
    x = 49,396.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.