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Finding the Third Proportional to 40,892.50 and 62,284

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Solution

The third proportional to 40,892.50 and 62,284 is: 94,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,892.50 : 62,284 = 62,284 : x
  2. Step 2: Convert to fraction form
    40,892.50/62,284 = 62,284/x
  3. Step 3: Cross multiply
    40,892.50x = 62,284 × 62,284
  4. Step 4: Simplify right side
    40,892.50x = 3,879,296,656
  5. Step 5: Solve for x
    x = 3,879,296,656/40,892.50
  6. Step 6: Final answer
    x = 94,865.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.