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Finding the Third Proportional to 6,573.81 and 14,070.27

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Solution

The third proportional to 6,573.81 and 14,070.27 is: 30,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.81 : 14,070.27 = 14,070.27 : x
  2. Step 2: Convert to fraction form
    6,573.81/14,070.27 = 14,070.27/x
  3. Step 3: Cross multiply
    6,573.81x = 14,070.27 × 14,070.27
  4. Step 4: Simplify right side
    6,573.81x = 197,972,484.68
  5. Step 5: Solve for x
    x = 197,972,484.68/6,573.81
  6. Step 6: Final answer
    x = 30,115.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.