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Finding the Third Proportional to 24,083 and 31,955

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Solution

The third proportional to 24,083 and 31,955 is: 42,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,083 : 31,955 = 31,955 : x
  2. Step 2: Convert to fraction form
    24,083/31,955 = 31,955/x
  3. Step 3: Cross multiply
    24,083x = 31,955 × 31,955
  4. Step 4: Simplify right side
    24,083x = 1,021,122,025
  5. Step 5: Solve for x
    x = 1,021,122,025/24,083
  6. Step 6: Final answer
    x = 42,400.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.