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Finding the Third Proportional to 22,896 and 34,962.75

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Solution

The third proportional to 22,896 and 34,962.75 is: 53,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896 : 34,962.75 = 34,962.75 : x
  2. Step 2: Convert to fraction form
    22,896/34,962.75 = 34,962.75/x
  3. Step 3: Cross multiply
    22,896x = 34,962.75 × 34,962.75
  4. Step 4: Simplify right side
    22,896x = 1,222,393,887.56
  5. Step 5: Solve for x
    x = 1,222,393,887.56/22,896
  6. Step 6: Final answer
    x = 53,388.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.