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Finding the Third Proportional to 40,046 and 59,985

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Solution

The third proportional to 40,046 and 59,985 is: 89,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,046 : 59,985 = 59,985 : x
  2. Step 2: Convert to fraction form
    40,046/59,985 = 59,985/x
  3. Step 3: Cross multiply
    40,046x = 59,985 × 59,985
  4. Step 4: Simplify right side
    40,046x = 3,598,200,225
  5. Step 5: Solve for x
    x = 3,598,200,225/40,046
  6. Step 6: Final answer
    x = 89,851.68

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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.