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Finding the Third Proportional to 6,573.66 and 14,462.06

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Solution

The third proportional to 6,573.66 and 14,462.06 is: 31,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.66 : 14,462.06 = 14,462.06 : x
  2. Step 2: Convert to fraction form
    6,573.66/14,462.06 = 14,462.06/x
  3. Step 3: Cross multiply
    6,573.66x = 14,462.06 × 14,462.06
  4. Step 4: Simplify right side
    6,573.66x = 209,151,251.75
  5. Step 5: Solve for x
    x = 209,151,251.75/6,573.66
  6. Step 6: Final answer
    x = 31,816.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.