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Finding the Third Proportional to 19,964 and 31,823

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Solution

The third proportional to 19,964 and 31,823 is: 50,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964 : 31,823 = 31,823 : x
  2. Step 2: Convert to fraction form
    19,964/31,823 = 31,823/x
  3. Step 3: Cross multiply
    19,964x = 31,823 × 31,823
  4. Step 4: Simplify right side
    19,964x = 1,012,703,329
  5. Step 5: Solve for x
    x = 1,012,703,329/19,964
  6. Step 6: Final answer
    x = 50,726.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.