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Finding the Third Proportional to 22,996 and 42,710

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Solution

The third proportional to 22,996 and 42,710 is: 79,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996 : 42,710 = 42,710 : x
  2. Step 2: Convert to fraction form
    22,996/42,710 = 42,710/x
  3. Step 3: Cross multiply
    22,996x = 42,710 × 42,710
  4. Step 4: Simplify right side
    22,996x = 1,824,144,100
  5. Step 5: Solve for x
    x = 1,824,144,100/22,996
  6. Step 6: Final answer
    x = 79,324.41

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.