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Finding the Third Proportional to 6,720.75 and 14,591.81

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Solution

The third proportional to 6,720.75 and 14,591.81 is: 31,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.75 : 14,591.81 = 14,591.81 : x
  2. Step 2: Convert to fraction form
    6,720.75/14,591.81 = 14,591.81/x
  3. Step 3: Cross multiply
    6,720.75x = 14,591.81 × 14,591.81
  4. Step 4: Simplify right side
    6,720.75x = 212,920,992.04
  5. Step 5: Solve for x
    x = 212,920,992.04/6,720.75
  6. Step 6: Final answer
    x = 31,681.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.