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Finding the Third Proportional to 21,890 and 32,057

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Solution

The third proportional to 21,890 and 32,057 is: 46,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,890 : 32,057 = 32,057 : x
  2. Step 2: Convert to fraction form
    21,890/32,057 = 32,057/x
  3. Step 3: Cross multiply
    21,890x = 32,057 × 32,057
  4. Step 4: Simplify right side
    21,890x = 1,027,651,249
  5. Step 5: Solve for x
    x = 1,027,651,249/21,890
  6. Step 6: Final answer
    x = 46,946.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.