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Finding the Third Proportional to 3,702.94 and 7,998.47

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Solution

The third proportional to 3,702.94 and 7,998.47 is: 17,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.94 : 7,998.47 = 7,998.47 : x
  2. Step 2: Convert to fraction form
    3,702.94/7,998.47 = 7,998.47/x
  3. Step 3: Cross multiply
    3,702.94x = 7,998.47 × 7,998.47
  4. Step 4: Simplify right side
    3,702.94x = 63,975,502.34
  5. Step 5: Solve for x
    x = 63,975,502.34/3,702.94
  6. Step 6: Final answer
    x = 17,276.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.