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Finding the Third Proportional to 24,069 and 57,985.50

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Solution

The third proportional to 24,069 and 57,985.50 is: 139,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,069 : 57,985.50 = 57,985.50 : x
  2. Step 2: Convert to fraction form
    24,069/57,985.50 = 57,985.50/x
  3. Step 3: Cross multiply
    24,069x = 57,985.50 × 57,985.50
  4. Step 4: Simplify right side
    24,069x = 3,362,318,210.25
  5. Step 5: Solve for x
    x = 3,362,318,210.25/24,069
  6. Step 6: Final answer
    x = 139,694.97

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.