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Finding the Third Proportional to 6,820.14 and 14,807.81

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Solution

The third proportional to 6,820.14 and 14,807.81 is: 32,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.14 : 14,807.81 = 14,807.81 : x
  2. Step 2: Convert to fraction form
    6,820.14/14,807.81 = 14,807.81/x
  3. Step 3: Cross multiply
    6,820.14x = 14,807.81 × 14,807.81
  4. Step 4: Simplify right side
    6,820.14x = 219,271,311.04
  5. Step 5: Solve for x
    x = 219,271,311.04/6,820.14
  6. Step 6: Final answer
    x = 32,150.57

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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.