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Finding the Third Proportional to 6,935.63 and 15,166.69

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Solution

The third proportional to 6,935.63 and 15,166.69 is: 33,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.63 : 15,166.69 = 15,166.69 : x
  2. Step 2: Convert to fraction form
    6,935.63/15,166.69 = 15,166.69/x
  3. Step 3: Cross multiply
    6,935.63x = 15,166.69 × 15,166.69
  4. Step 4: Simplify right side
    6,935.63x = 230,028,409.72
  5. Step 5: Solve for x
    x = 230,028,409.72/6,935.63
  6. Step 6: Final answer
    x = 33,166.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.