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Finding the Third Proportional to 6,595.73 and 14,114.07

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Solution

The third proportional to 6,595.73 and 14,114.07 is: 30,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.73 : 14,114.07 = 14,114.07 : x
  2. Step 2: Convert to fraction form
    6,595.73/14,114.07 = 14,114.07/x
  3. Step 3: Cross multiply
    6,595.73x = 14,114.07 × 14,114.07
  4. Step 4: Simplify right side
    6,595.73x = 199,207,091.05
  5. Step 5: Solve for x
    x = 199,207,091.05/6,595.73
  6. Step 6: Final answer
    x = 30,202.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.