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Finding the Third Proportional to 16,407.56 and 35,150.06

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Solution

The third proportional to 16,407.56 and 35,150.06 is: 75,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.56 : 35,150.06 = 35,150.06 : x
  2. Step 2: Convert to fraction form
    16,407.56/35,150.06 = 35,150.06/x
  3. Step 3: Cross multiply
    16,407.56x = 35,150.06 × 35,150.06
  4. Step 4: Simplify right side
    16,407.56x = 1,235,526,893.75
  5. Step 5: Solve for x
    x = 1,235,526,893.75/16,407.56
  6. Step 6: Final answer
    x = 75,302.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.