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Finding the Third Proportional to 30,768.61 and 63,669.80

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Solution

The third proportional to 30,768.61 and 63,669.80 is: 131,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768.61 : 63,669.80 = 63,669.80 : x
  2. Step 2: Convert to fraction form
    30,768.61/63,669.80 = 63,669.80/x
  3. Step 3: Cross multiply
    30,768.61x = 63,669.80 × 63,669.80
  4. Step 4: Simplify right side
    30,768.61x = 4,053,843,034.10
  5. Step 5: Solve for x
    x = 4,053,843,034.10/30,768.61
  6. Step 6: Final answer
    x = 131,752.56

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.