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Finding the Third Proportional to 9,787 and 21,169

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Solution

The third proportional to 9,787 and 21,169 is: 45,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787 : 21,169 = 21,169 : x
  2. Step 2: Convert to fraction form
    9,787/21,169 = 21,169/x
  3. Step 3: Cross multiply
    9,787x = 21,169 × 21,169
  4. Step 4: Simplify right side
    9,787x = 448,126,561
  5. Step 5: Solve for x
    x = 448,126,561/9,787
  6. Step 6: Final answer
    x = 45,787.94

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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.