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Finding the Third Proportional to 5,306.06 and 9,849.94

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Solution

The third proportional to 5,306.06 and 9,849.94 is: 18,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.06 : 9,849.94 = 9,849.94 : x
  2. Step 2: Convert to fraction form
    5,306.06/9,849.94 = 9,849.94/x
  3. Step 3: Cross multiply
    5,306.06x = 9,849.94 × 9,849.94
  4. Step 4: Simplify right side
    5,306.06x = 97,021,268.75
  5. Step 5: Solve for x
    x = 97,021,268.75/5,306.06
  6. Step 6: Final answer
    x = 18,284.98

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.