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Finding the Third Proportional to 4,974 and 13,461

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Solution

The third proportional to 4,974 and 13,461 is: 36,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974 : 13,461 = 13,461 : x
  2. Step 2: Convert to fraction form
    4,974/13,461 = 13,461/x
  3. Step 3: Cross multiply
    4,974x = 13,461 × 13,461
  4. Step 4: Simplify right side
    4,974x = 181,198,521
  5. Step 5: Solve for x
    x = 181,198,521/4,974
  6. Step 6: Final answer
    x = 36,429.14

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.