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Finding the Third Proportional to 5,270.06 and 7,982.93

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Solution

The third proportional to 5,270.06 and 7,982.93 is: 12,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.06 : 7,982.93 = 7,982.93 : x
  2. Step 2: Convert to fraction form
    5,270.06/7,982.93 = 7,982.93/x
  3. Step 3: Cross multiply
    5,270.06x = 7,982.93 × 7,982.93
  4. Step 4: Simplify right side
    5,270.06x = 63,727,166.40
  5. Step 5: Solve for x
    x = 63,727,166.40/5,270.06
  6. Step 6: Final answer
    x = 12,092.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.