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Finding the Third Proportional to 18,246 and 40,053

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Solution

The third proportional to 18,246 and 40,053 is: 87,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,246 : 40,053 = 40,053 : x
  2. Step 2: Convert to fraction form
    18,246/40,053 = 40,053/x
  3. Step 3: Cross multiply
    18,246x = 40,053 × 40,053
  4. Step 4: Simplify right side
    18,246x = 1,604,242,809
  5. Step 5: Solve for x
    x = 1,604,242,809/18,246
  6. Step 6: Final answer
    x = 87,922.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.