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Finding the Third Proportional to 16,470.84 and 36,009.56

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Solution

The third proportional to 16,470.84 and 36,009.56 is: 78,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.84 : 36,009.56 = 36,009.56 : x
  2. Step 2: Convert to fraction form
    16,470.84/36,009.56 = 36,009.56/x
  3. Step 3: Cross multiply
    16,470.84x = 36,009.56 × 36,009.56
  4. Step 4: Simplify right side
    16,470.84x = 1,296,688,591.44
  5. Step 5: Solve for x
    x = 1,296,688,591.44/16,470.84
  6. Step 6: Final answer
    x = 78,726.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.