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Finding the Third Proportional to 10,484 and 22,786

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Solution

The third proportional to 10,484 and 22,786 is: 49,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484 : 22,786 = 22,786 : x
  2. Step 2: Convert to fraction form
    10,484/22,786 = 22,786/x
  3. Step 3: Cross multiply
    10,484x = 22,786 × 22,786
  4. Step 4: Simplify right side
    10,484x = 519,201,796
  5. Step 5: Solve for x
    x = 519,201,796/10,484
  6. Step 6: Final answer
    x = 49,523.25

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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.