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Finding the Third Proportional to 9,815 and 21,031

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Solution

The third proportional to 9,815 and 21,031 is: 45,063.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815 : 21,031 = 21,031 : x
  2. Step 2: Convert to fraction form
    9,815/21,031 = 21,031/x
  3. Step 3: Cross multiply
    9,815x = 21,031 × 21,031
  4. Step 4: Simplify right side
    9,815x = 442,302,961
  5. Step 5: Solve for x
    x = 442,302,961/9,815
  6. Step 6: Final answer
    x = 45,063.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.