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Finding the Third Proportional to 14,409.14 and 29,535.89

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Solution

The third proportional to 14,409.14 and 29,535.89 is: 60,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.14 : 29,535.89 = 29,535.89 : x
  2. Step 2: Convert to fraction form
    14,409.14/29,535.89 = 29,535.89/x
  3. Step 3: Cross multiply
    14,409.14x = 29,535.89 × 29,535.89
  4. Step 4: Simplify right side
    14,409.14x = 872,368,835.01
  5. Step 5: Solve for x
    x = 872,368,835.01/14,409.14
  6. Step 6: Final answer
    x = 60,542.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.