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Finding the Third Proportional to 30,378.80 and 40,645.55

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Solution

The third proportional to 30,378.80 and 40,645.55 is: 54,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.80 : 40,645.55 = 40,645.55 : x
  2. Step 2: Convert to fraction form
    30,378.80/40,645.55 = 40,645.55/x
  3. Step 3: Cross multiply
    30,378.80x = 40,645.55 × 40,645.55
  4. Step 4: Simplify right side
    30,378.80x = 1,652,060,480.77
  5. Step 5: Solve for x
    x = 1,652,060,480.77/30,378.80
  6. Step 6: Final answer
    x = 54,382.02

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.