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Finding the Third Proportional to 18,724 and 40,964

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Solution

The third proportional to 18,724 and 40,964 is: 89,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,724 : 40,964 = 40,964 : x
  2. Step 2: Convert to fraction form
    18,724/40,964 = 40,964/x
  3. Step 3: Cross multiply
    18,724x = 40,964 × 40,964
  4. Step 4: Simplify right side
    18,724x = 1,678,049,296
  5. Step 5: Solve for x
    x = 1,678,049,296/18,724
  6. Step 6: Final answer
    x = 89,620.24

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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.