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Finding the Third Proportional to 41,830 and 62,837.50

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Solution

The third proportional to 41,830 and 62,837.50 is: 94,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,830 : 62,837.50 = 62,837.50 : x
  2. Step 2: Convert to fraction form
    41,830/62,837.50 = 62,837.50/x
  3. Step 3: Cross multiply
    41,830x = 62,837.50 × 62,837.50
  4. Step 4: Simplify right side
    41,830x = 3,948,551,406.25
  5. Step 5: Solve for x
    x = 3,948,551,406.25/41,830
  6. Step 6: Final answer
    x = 94,395.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.