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Finding the Third Proportional to 22,987 and 35,141

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Solution

The third proportional to 22,987 and 35,141 is: 53,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,987 : 35,141 = 35,141 : x
  2. Step 2: Convert to fraction form
    22,987/35,141 = 35,141/x
  3. Step 3: Cross multiply
    22,987x = 35,141 × 35,141
  4. Step 4: Simplify right side
    22,987x = 1,234,889,881
  5. Step 5: Solve for x
    x = 1,234,889,881/22,987
  6. Step 6: Final answer
    x = 53,721.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.