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Finding the Third Proportional to 6,572.67 and 14,205.09

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Solution

The third proportional to 6,572.67 and 14,205.09 is: 30,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.67 : 14,205.09 = 14,205.09 : x
  2. Step 2: Convert to fraction form
    6,572.67/14,205.09 = 14,205.09/x
  3. Step 3: Cross multiply
    6,572.67x = 14,205.09 × 14,205.09
  4. Step 4: Simplify right side
    6,572.67x = 201,784,688.45
  5. Step 5: Solve for x
    x = 201,784,688.45/6,572.67
  6. Step 6: Final answer
    x = 30,700.56

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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.