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Finding the Third Proportional to 14,197.50 and 29,305.50

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Solution

The third proportional to 14,197.50 and 29,305.50 is: 60,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.50 : 29,305.50 = 29,305.50 : x
  2. Step 2: Convert to fraction form
    14,197.50/29,305.50 = 29,305.50/x
  3. Step 3: Cross multiply
    14,197.50x = 29,305.50 × 29,305.50
  4. Step 4: Simplify right side
    14,197.50x = 858,812,330.25
  5. Step 5: Solve for x
    x = 858,812,330.25/14,197.50
  6. Step 6: Final answer
    x = 60,490.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.