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Finding the Third Proportional to 30,897 and 34,461

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Solution

The third proportional to 30,897 and 34,461 is: 38,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897 : 34,461 = 34,461 : x
  2. Step 2: Convert to fraction form
    30,897/34,461 = 34,461/x
  3. Step 3: Cross multiply
    30,897x = 34,461 × 34,461
  4. Step 4: Simplify right side
    30,897x = 1,187,560,521
  5. Step 5: Solve for x
    x = 1,187,560,521/30,897
  6. Step 6: Final answer
    x = 38,436.11

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.