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Finding the Third Proportional to 30,816 and 63,092.25

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Solution

The third proportional to 30,816 and 63,092.25 is: 129,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 63,092.25 = 63,092.25 : x
  2. Step 2: Convert to fraction form
    30,816/63,092.25 = 63,092.25/x
  3. Step 3: Cross multiply
    30,816x = 63,092.25 × 63,092.25
  4. Step 4: Simplify right side
    30,816x = 3,980,632,010.06
  5. Step 5: Solve for x
    x = 3,980,632,010.06/30,816
  6. Step 6: Final answer
    x = 129,174.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.