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Finding the Third Proportional to 18,499 and 40,141

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Solution

The third proportional to 18,499 and 40,141 is: 87,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,499 : 40,141 = 40,141 : x
  2. Step 2: Convert to fraction form
    18,499/40,141 = 40,141/x
  3. Step 3: Cross multiply
    18,499x = 40,141 × 40,141
  4. Step 4: Simplify right side
    18,499x = 1,611,299,881
  5. Step 5: Solve for x
    x = 1,611,299,881/18,499
  6. Step 6: Final answer
    x = 87,102.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.