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Finding the Third Proportional to 6,943.13 and 11,042.63

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Solution

The third proportional to 6,943.13 and 11,042.63 is: 17,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.13 : 11,042.63 = 11,042.63 : x
  2. Step 2: Convert to fraction form
    6,943.13/11,042.63 = 11,042.63/x
  3. Step 3: Cross multiply
    6,943.13x = 11,042.63 × 11,042.63
  4. Step 4: Simplify right side
    6,943.13x = 121,939,566.89
  5. Step 5: Solve for x
    x = 121,939,566.89/6,943.13
  6. Step 6: Final answer
    x = 17,562.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.