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Finding the Third Proportional to 10,427.91 and 16,160.34

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Solution

The third proportional to 10,427.91 and 16,160.34 is: 25,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.91 : 16,160.34 = 16,160.34 : x
  2. Step 2: Convert to fraction form
    10,427.91/16,160.34 = 16,160.34/x
  3. Step 3: Cross multiply
    10,427.91x = 16,160.34 × 16,160.34
  4. Step 4: Simplify right side
    10,427.91x = 261,156,710.12
  5. Step 5: Solve for x
    x = 261,156,710.12/10,427.91
  6. Step 6: Final answer
    x = 25,044.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.