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Finding the Third Proportional to 30,812.25 and 63,084.75

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Solution

The third proportional to 30,812.25 and 63,084.75 is: 129,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.25 : 63,084.75 = 63,084.75 : x
  2. Step 2: Convert to fraction form
    30,812.25/63,084.75 = 63,084.75/x
  3. Step 3: Cross multiply
    30,812.25x = 63,084.75 × 63,084.75
  4. Step 4: Simplify right side
    30,812.25x = 3,979,685,682.56
  5. Step 5: Solve for x
    x = 3,979,685,682.56/30,812.25
  6. Step 6: Final answer
    x = 129,159.20

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