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Finding the Third Proportional to 30,777.38 and 66,152.53

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Solution

The third proportional to 30,777.38 and 66,152.53 is: 142,187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.38 : 66,152.53 = 66,152.53 : x
  2. Step 2: Convert to fraction form
    30,777.38/66,152.53 = 66,152.53/x
  3. Step 3: Cross multiply
    30,777.38x = 66,152.53 × 66,152.53
  4. Step 4: Simplify right side
    30,777.38x = 4,376,157,390.78
  5. Step 5: Solve for x
    x = 4,376,157,390.78/30,777.38
  6. Step 6: Final answer
    x = 142,187.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.