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Finding the Third Proportional to 29,823 and 64,974

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Solution

The third proportional to 29,823 and 64,974 is: 141,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823 : 64,974 = 64,974 : x
  2. Step 2: Convert to fraction form
    29,823/64,974 = 64,974/x
  3. Step 3: Cross multiply
    29,823x = 64,974 × 64,974
  4. Step 4: Simplify right side
    29,823x = 4,221,620,676
  5. Step 5: Solve for x
    x = 4,221,620,676/29,823
  6. Step 6: Final answer
    x = 141,555.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.