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Finding the Third Proportional to 40,027.50 and 92,656.50

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Solution

The third proportional to 40,027.50 and 92,656.50 is: 214,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,027.50 : 92,656.50 = 92,656.50 : x
  2. Step 2: Convert to fraction form
    40,027.50/92,656.50 = 92,656.50/x
  3. Step 3: Cross multiply
    40,027.50x = 92,656.50 × 92,656.50
  4. Step 4: Simplify right side
    40,027.50x = 8,585,226,992.25
  5. Step 5: Solve for x
    x = 8,585,226,992.25/40,027.50
  6. Step 6: Final answer
    x = 214,483.22

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.