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Finding the Third Proportional to 6,981.19 and 16,464.94

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Solution

The third proportional to 6,981.19 and 16,464.94 is: 38,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.19 : 16,464.94 = 16,464.94 : x
  2. Step 2: Convert to fraction form
    6,981.19/16,464.94 = 16,464.94/x
  3. Step 3: Cross multiply
    6,981.19x = 16,464.94 × 16,464.94
  4. Step 4: Simplify right side
    6,981.19x = 271,094,166.88
  5. Step 5: Solve for x
    x = 271,094,166.88/6,981.19
  6. Step 6: Final answer
    x = 38,832.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.