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Finding the Third Proportional to 14,996 and 22,610

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Solution

The third proportional to 14,996 and 22,610 is: 34,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996 : 22,610 = 22,610 : x
  2. Step 2: Convert to fraction form
    14,996/22,610 = 22,610/x
  3. Step 3: Cross multiply
    14,996x = 22,610 × 22,610
  4. Step 4: Simplify right side
    14,996x = 511,212,100
  5. Step 5: Solve for x
    x = 511,212,100/14,996
  6. Step 6: Final answer
    x = 34,089.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.