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Finding the Third Proportional to 25,884 and 40,158

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Solution

The third proportional to 25,884 and 40,158 is: 62,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884 : 40,158 = 40,158 : x
  2. Step 2: Convert to fraction form
    25,884/40,158 = 40,158/x
  3. Step 3: Cross multiply
    25,884x = 40,158 × 40,158
  4. Step 4: Simplify right side
    25,884x = 1,612,664,964
  5. Step 5: Solve for x
    x = 1,612,664,964/25,884
  6. Step 6: Final answer
    x = 62,303.55

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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.