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Finding the Third Proportional to 6,535.37 and 14,089.49

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Solution

The third proportional to 6,535.37 and 14,089.49 is: 30,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.37 : 14,089.49 = 14,089.49 : x
  2. Step 2: Convert to fraction form
    6,535.37/14,089.49 = 14,089.49/x
  3. Step 3: Cross multiply
    6,535.37x = 14,089.49 × 14,089.49
  4. Step 4: Simplify right side
    6,535.37x = 198,513,762.58
  5. Step 5: Solve for x
    x = 198,513,762.58/6,535.37
  6. Step 6: Final answer
    x = 30,375.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.