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Finding the Third Proportional to 15,778.86 and 33,941.21

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Solution

The third proportional to 15,778.86 and 33,941.21 is: 73,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.86 : 33,941.21 = 33,941.21 : x
  2. Step 2: Convert to fraction form
    15,778.86/33,941.21 = 33,941.21/x
  3. Step 3: Cross multiply
    15,778.86x = 33,941.21 × 33,941.21
  4. Step 4: Simplify right side
    15,778.86x = 1,152,006,065.07
  5. Step 5: Solve for x
    x = 1,152,006,065.07/15,778.86
  6. Step 6: Final answer
    x = 73,009.45

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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.