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Finding the Third Proportional to 25,970 and 40,103

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Solution

The third proportional to 25,970 and 40,103 is: 61,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,970 : 40,103 = 40,103 : x
  2. Step 2: Convert to fraction form
    25,970/40,103 = 40,103/x
  3. Step 3: Cross multiply
    25,970x = 40,103 × 40,103
  4. Step 4: Simplify right side
    25,970x = 1,608,250,609
  5. Step 5: Solve for x
    x = 1,608,250,609/25,970
  6. Step 6: Final answer
    x = 61,927.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.