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Finding the Third Proportional to 28,035 and 41,809.50

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Solution

The third proportional to 28,035 and 41,809.50 is: 62,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,035 : 41,809.50 = 41,809.50 : x
  2. Step 2: Convert to fraction form
    28,035/41,809.50 = 41,809.50/x
  3. Step 3: Cross multiply
    28,035x = 41,809.50 × 41,809.50
  4. Step 4: Simplify right side
    28,035x = 1,748,034,290.25
  5. Step 5: Solve for x
    x = 1,748,034,290.25/28,035
  6. Step 6: Final answer
    x = 62,351.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.