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Finding the Third Proportional to 22,987 and 36,881

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Solution

The third proportional to 22,987 and 36,881 is: 59,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,987 : 36,881 = 36,881 : x
  2. Step 2: Convert to fraction form
    22,987/36,881 = 36,881/x
  3. Step 3: Cross multiply
    22,987x = 36,881 × 36,881
  4. Step 4: Simplify right side
    22,987x = 1,360,208,161
  5. Step 5: Solve for x
    x = 1,360,208,161/22,987
  6. Step 6: Final answer
    x = 59,172.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.