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Finding the Third Proportional to 2,935.13 and 6,429.94

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Solution

The third proportional to 2,935.13 and 6,429.94 is: 14,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.13 : 6,429.94 = 6,429.94 : x
  2. Step 2: Convert to fraction form
    2,935.13/6,429.94 = 6,429.94/x
  3. Step 3: Cross multiply
    2,935.13x = 6,429.94 × 6,429.94
  4. Step 4: Simplify right side
    2,935.13x = 41,344,096.25
  5. Step 5: Solve for x
    x = 41,344,096.25/2,935.13
  6. Step 6: Final answer
    x = 14,085.97

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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.