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Finding the Third Proportional to 25,952 and 40,138

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Solution

The third proportional to 25,952 and 40,138 is: 62,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952 : 40,138 = 40,138 : x
  2. Step 2: Convert to fraction form
    25,952/40,138 = 40,138/x
  3. Step 3: Cross multiply
    25,952x = 40,138 × 40,138
  4. Step 4: Simplify right side
    25,952x = 1,611,059,044
  5. Step 5: Solve for x
    x = 1,611,059,044/25,952
  6. Step 6: Final answer
    x = 62,078.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.