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Finding the Third Proportional to 6,700.22 and 9,849.38

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Solution

The third proportional to 6,700.22 and 9,849.38 is: 14,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.22 : 9,849.38 = 9,849.38 : x
  2. Step 2: Convert to fraction form
    6,700.22/9,849.38 = 9,849.38/x
  3. Step 3: Cross multiply
    6,700.22x = 9,849.38 × 9,849.38
  4. Step 4: Simplify right side
    6,700.22x = 97,010,187.89
  5. Step 5: Solve for x
    x = 97,010,187.89/6,700.22
  6. Step 6: Final answer
    x = 14,478.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.