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Finding the Third Proportional to 16,235.72 and 34,897.64

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Solution

The third proportional to 16,235.72 and 34,897.64 is: 75,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.72 : 34,897.64 = 34,897.64 : x
  2. Step 2: Convert to fraction form
    16,235.72/34,897.64 = 34,897.64/x
  3. Step 3: Cross multiply
    16,235.72x = 34,897.64 × 34,897.64
  4. Step 4: Simplify right side
    16,235.72x = 1,217,845,321.19
  5. Step 5: Solve for x
    x = 1,217,845,321.19/16,235.72
  6. Step 6: Final answer
    x = 75,010.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.