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Finding the Third Proportional to 5,503.50 and 9,029.75

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Solution

The third proportional to 5,503.50 and 9,029.75 is: 14,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.50 : 9,029.75 = 9,029.75 : x
  2. Step 2: Convert to fraction form
    5,503.50/9,029.75 = 9,029.75/x
  3. Step 3: Cross multiply
    5,503.50x = 9,029.75 × 9,029.75
  4. Step 4: Simplify right side
    5,503.50x = 81,536,385.06
  5. Step 5: Solve for x
    x = 81,536,385.06/5,503.50
  6. Step 6: Final answer
    x = 14,815.37

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.