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Finding the Third Proportional to 16,498.13 and 35,623.88

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Solution

The third proportional to 16,498.13 and 35,623.88 is: 76,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.13 : 35,623.88 = 35,623.88 : x
  2. Step 2: Convert to fraction form
    16,498.13/35,623.88 = 35,623.88/x
  3. Step 3: Cross multiply
    16,498.13x = 35,623.88 × 35,623.88
  4. Step 4: Simplify right side
    16,498.13x = 1,269,060,470.02
  5. Step 5: Solve for x
    x = 1,269,060,470.02/16,498.13
  6. Step 6: Final answer
    x = 76,921.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.