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Finding the Third Proportional to 21,206 and 40,484

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Solution

The third proportional to 21,206 and 40,484 is: 77,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206 : 40,484 = 40,484 : x
  2. Step 2: Convert to fraction form
    21,206/40,484 = 40,484/x
  3. Step 3: Cross multiply
    21,206x = 40,484 × 40,484
  4. Step 4: Simplify right side
    21,206x = 1,638,954,256
  5. Step 5: Solve for x
    x = 1,638,954,256/21,206
  6. Step 6: Final answer
    x = 77,287.29

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.