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Finding the Third Proportional to 22,189.50 and 35,298

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Solution

The third proportional to 22,189.50 and 35,298 is: 56,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,189.50 : 35,298 = 35,298 : x
  2. Step 2: Convert to fraction form
    22,189.50/35,298 = 35,298/x
  3. Step 3: Cross multiply
    22,189.50x = 35,298 × 35,298
  4. Step 4: Simplify right side
    22,189.50x = 1,245,948,804
  5. Step 5: Solve for x
    x = 1,245,948,804/22,189.50
  6. Step 6: Final answer
    x = 56,150.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.