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Finding the Third Proportional to 31,158 and 41,985

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Solution

The third proportional to 31,158 and 41,985 is: 56,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,158 : 41,985 = 41,985 : x
  2. Step 2: Convert to fraction form
    31,158/41,985 = 41,985/x
  3. Step 3: Cross multiply
    31,158x = 41,985 × 41,985
  4. Step 4: Simplify right side
    31,158x = 1,762,740,225
  5. Step 5: Solve for x
    x = 1,762,740,225/31,158
  6. Step 6: Final answer
    x = 56,574.24

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.