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Finding the Third Proportional to 22,970.25 and 33,543.75

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Solution

The third proportional to 22,970.25 and 33,543.75 is: 48,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.25 : 33,543.75 = 33,543.75 : x
  2. Step 2: Convert to fraction form
    22,970.25/33,543.75 = 33,543.75/x
  3. Step 3: Cross multiply
    22,970.25x = 33,543.75 × 33,543.75
  4. Step 4: Simplify right side
    22,970.25x = 1,125,183,164.06
  5. Step 5: Solve for x
    x = 1,125,183,164.06/22,970.25
  6. Step 6: Final answer
    x = 48,984.37

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.