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Finding the Third Proportional to 6,935.63 and 11,031.19

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Solution

The third proportional to 6,935.63 and 11,031.19 is: 17,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.63 : 11,031.19 = 11,031.19 : x
  2. Step 2: Convert to fraction form
    6,935.63/11,031.19 = 11,031.19/x
  3. Step 3: Cross multiply
    6,935.63x = 11,031.19 × 11,031.19
  4. Step 4: Simplify right side
    6,935.63x = 121,687,097.66
  5. Step 5: Solve for x
    x = 121,687,097.66/6,935.63
  6. Step 6: Final answer
    x = 17,545.22

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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.