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Finding the Third Proportional to 24,333 and 31,951.50

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Solution

The third proportional to 24,333 and 31,951.50 is: 41,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333 : 31,951.50 = 31,951.50 : x
  2. Step 2: Convert to fraction form
    24,333/31,951.50 = 31,951.50/x
  3. Step 3: Cross multiply
    24,333x = 31,951.50 × 31,951.50
  4. Step 4: Simplify right side
    24,333x = 1,020,898,352.25
  5. Step 5: Solve for x
    x = 1,020,898,352.25/24,333
  6. Step 6: Final answer
    x = 41,955.30

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.