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Finding the Third Proportional to 40,983 and 59,230.50

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Solution

The third proportional to 40,983 and 59,230.50 is: 85,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,983 : 59,230.50 = 59,230.50 : x
  2. Step 2: Convert to fraction form
    40,983/59,230.50 = 59,230.50/x
  3. Step 3: Cross multiply
    40,983x = 59,230.50 × 59,230.50
  4. Step 4: Simplify right side
    40,983x = 3,508,252,130.25
  5. Step 5: Solve for x
    x = 3,508,252,130.25/40,983
  6. Step 6: Final answer
    x = 85,602.62

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.