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Finding the Third Proportional to 10,633 and 22,417

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Solution

The third proportional to 10,633 and 22,417 is: 47,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633 : 22,417 = 22,417 : x
  2. Step 2: Convert to fraction form
    10,633/22,417 = 22,417/x
  3. Step 3: Cross multiply
    10,633x = 22,417 × 22,417
  4. Step 4: Simplify right side
    10,633x = 502,521,889
  5. Step 5: Solve for x
    x = 502,521,889/10,633
  6. Step 6: Final answer
    x = 47,260.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.