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Finding the Third Proportional to 40,027.50 and 56,875.50

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Solution

The third proportional to 40,027.50 and 56,875.50 is: 80,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,027.50 : 56,875.50 = 56,875.50 : x
  2. Step 2: Convert to fraction form
    40,027.50/56,875.50 = 56,875.50/x
  3. Step 3: Cross multiply
    40,027.50x = 56,875.50 × 56,875.50
  4. Step 4: Simplify right side
    40,027.50x = 3,234,822,500.25
  5. Step 5: Solve for x
    x = 3,234,822,500.25/40,027.50
  6. Step 6: Final answer
    x = 80,815.00

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.