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Finding the Third Proportional to 22,948.50 and 33,997.50

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Solution

The third proportional to 22,948.50 and 33,997.50 is: 50,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,948.50 : 33,997.50 = 33,997.50 : x
  2. Step 2: Convert to fraction form
    22,948.50/33,997.50 = 33,997.50/x
  3. Step 3: Cross multiply
    22,948.50x = 33,997.50 × 33,997.50
  4. Step 4: Simplify right side
    22,948.50x = 1,155,830,006.25
  5. Step 5: Solve for x
    x = 1,155,830,006.25/22,948.50
  6. Step 6: Final answer
    x = 50,366.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.