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Finding the Third Proportional to 25,411 and 36,091

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Solution

The third proportional to 25,411 and 36,091 is: 51,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,411 : 36,091 = 36,091 : x
  2. Step 2: Convert to fraction form
    25,411/36,091 = 36,091/x
  3. Step 3: Cross multiply
    25,411x = 36,091 × 36,091
  4. Step 4: Simplify right side
    25,411x = 1,302,560,281
  5. Step 5: Solve for x
    x = 1,302,560,281/25,411
  6. Step 6: Final answer
    x = 51,259.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.