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Finding the Third Proportional to 15,940 and 25,318.50

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Solution

The third proportional to 15,940 and 25,318.50 is: 40,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,940 : 25,318.50 = 25,318.50 : x
  2. Step 2: Convert to fraction form
    15,940/25,318.50 = 25,318.50/x
  3. Step 3: Cross multiply
    15,940x = 25,318.50 × 25,318.50
  4. Step 4: Simplify right side
    15,940x = 641,026,442.25
  5. Step 5: Solve for x
    x = 641,026,442.25/15,940
  6. Step 6: Final answer
    x = 40,214.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.