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Finding the Third Proportional to 16,357.50 and 35,305.50

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Solution

The third proportional to 16,357.50 and 35,305.50 is: 76,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.50 : 35,305.50 = 35,305.50 : x
  2. Step 2: Convert to fraction form
    16,357.50/35,305.50 = 35,305.50/x
  3. Step 3: Cross multiply
    16,357.50x = 35,305.50 × 35,305.50
  4. Step 4: Simplify right side
    16,357.50x = 1,246,478,330.25
  5. Step 5: Solve for x
    x = 1,246,478,330.25/16,357.50
  6. Step 6: Final answer
    x = 76,202.25

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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.