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Finding the Third Proportional to 22,741.50 and 35,084.25

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Solution

The third proportional to 22,741.50 and 35,084.25 is: 54,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741.50 : 35,084.25 = 35,084.25 : x
  2. Step 2: Convert to fraction form
    22,741.50/35,084.25 = 35,084.25/x
  3. Step 3: Cross multiply
    22,741.50x = 35,084.25 × 35,084.25
  4. Step 4: Simplify right side
    22,741.50x = 1,230,904,598.06
  5. Step 5: Solve for x
    x = 1,230,904,598.06/22,741.50
  6. Step 6: Final answer
    x = 54,125.92

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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.