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Finding the Third Proportional to 22,158 and 28,741.50

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Solution

The third proportional to 22,158 and 28,741.50 is: 37,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,158 : 28,741.50 = 28,741.50 : x
  2. Step 2: Convert to fraction form
    22,158/28,741.50 = 28,741.50/x
  3. Step 3: Cross multiply
    22,158x = 28,741.50 × 28,741.50
  4. Step 4: Simplify right side
    22,158x = 826,073,822.25
  5. Step 5: Solve for x
    x = 826,073,822.25/22,158
  6. Step 6: Final answer
    x = 37,281.06

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.