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Finding the Third Proportional to 22,652 and 34,988

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Solution

The third proportional to 22,652 and 34,988 is: 54,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652 : 34,988 = 34,988 : x
  2. Step 2: Convert to fraction form
    22,652/34,988 = 34,988/x
  3. Step 3: Cross multiply
    22,652x = 34,988 × 34,988
  4. Step 4: Simplify right side
    22,652x = 1,224,160,144
  5. Step 5: Solve for x
    x = 1,224,160,144/22,652
  6. Step 6: Final answer
    x = 54,042.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.