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Finding the Third Proportional to 16,470.84 and 35,923.18

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Solution

The third proportional to 16,470.84 and 35,923.18 is: 78,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.84 : 35,923.18 = 35,923.18 : x
  2. Step 2: Convert to fraction form
    16,470.84/35,923.18 = 35,923.18/x
  3. Step 3: Cross multiply
    16,470.84x = 35,923.18 × 35,923.18
  4. Step 4: Simplify right side
    16,470.84x = 1,290,475,119.51
  5. Step 5: Solve for x
    x = 1,290,475,119.51/16,470.84
  6. Step 6: Final answer
    x = 78,349.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.