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Finding the Third Proportional to 16,596.14 and 29,809.27

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Solution

The third proportional to 16,596.14 and 29,809.27 is: 53,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.14 : 29,809.27 = 29,809.27 : x
  2. Step 2: Convert to fraction form
    16,596.14/29,809.27 = 29,809.27/x
  3. Step 3: Cross multiply
    16,596.14x = 29,809.27 × 29,809.27
  4. Step 4: Simplify right side
    16,596.14x = 888,592,317.10
  5. Step 5: Solve for x
    x = 888,592,317.10/16,596.14
  6. Step 6: Final answer
    x = 53,542.11

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.