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Finding the Third Proportional to 16,005.75 and 21,415.88

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Solution

The third proportional to 16,005.75 and 21,415.88 is: 28,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.75 : 21,415.88 = 21,415.88 : x
  2. Step 2: Convert to fraction form
    16,005.75/21,415.88 = 21,415.88/x
  3. Step 3: Cross multiply
    16,005.75x = 21,415.88 × 21,415.88
  4. Step 4: Simplify right side
    16,005.75x = 458,639,702.02
  5. Step 5: Solve for x
    x = 458,639,702.02/16,005.75
  6. Step 6: Final answer
    x = 28,654.68

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.