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Finding the Third Proportional to 21,388 and 31,906

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Solution

The third proportional to 21,388 and 31,906 is: 47,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,388 : 31,906 = 31,906 : x
  2. Step 2: Convert to fraction form
    21,388/31,906 = 31,906/x
  3. Step 3: Cross multiply
    21,388x = 31,906 × 31,906
  4. Step 4: Simplify right side
    21,388x = 1,017,992,836
  5. Step 5: Solve for x
    x = 1,017,992,836/21,388
  6. Step 6: Final answer
    x = 47,596.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.