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Finding the Third Proportional to 6,935.63 and 10,750.22

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Solution

The third proportional to 6,935.63 and 10,750.22 is: 16,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.63 : 10,750.22 = 10,750.22 : x
  2. Step 2: Convert to fraction form
    6,935.63/10,750.22 = 10,750.22/x
  3. Step 3: Cross multiply
    6,935.63x = 10,750.22 × 10,750.22
  4. Step 4: Simplify right side
    6,935.63x = 115,567,203.17
  5. Step 5: Solve for x
    x = 115,567,203.17/6,935.63
  6. Step 6: Final answer
    x = 16,662.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.