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Finding the Third Proportional to 3,946.13 and 8,507.44

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Solution

The third proportional to 3,946.13 and 8,507.44 is: 18,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.13 : 8,507.44 = 8,507.44 : x
  2. Step 2: Convert to fraction form
    3,946.13/8,507.44 = 8,507.44/x
  3. Step 3: Cross multiply
    3,946.13x = 8,507.44 × 8,507.44
  4. Step 4: Simplify right side
    3,946.13x = 72,376,492.82
  5. Step 5: Solve for x
    x = 72,376,492.82/3,946.13
  6. Step 6: Final answer
    x = 18,341.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.