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Finding the Third Proportional to 18,734.91 and 40,966.78

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Solution

The third proportional to 18,734.91 and 40,966.78 is: 89,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,734.91 : 40,966.78 = 40,966.78 : x
  2. Step 2: Convert to fraction form
    18,734.91/40,966.78 = 40,966.78/x
  3. Step 3: Cross multiply
    18,734.91x = 40,966.78 × 40,966.78
  4. Step 4: Simplify right side
    18,734.91x = 1,678,277,165.99
  5. Step 5: Solve for x
    x = 1,678,277,165.99/18,734.91
  6. Step 6: Final answer
    x = 89,580.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.