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Finding the Third Proportional to 9,106 and 19,649

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Solution

The third proportional to 9,106 and 19,649 is: 42,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106 : 19,649 = 19,649 : x
  2. Step 2: Convert to fraction form
    9,106/19,649 = 19,649/x
  3. Step 3: Cross multiply
    9,106x = 19,649 × 19,649
  4. Step 4: Simplify right side
    9,106x = 386,083,201
  5. Step 5: Solve for x
    x = 386,083,201/9,106
  6. Step 6: Final answer
    x = 42,398.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.