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Finding the Third Proportional to 4,784.06 and 9,306.14

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Solution

The third proportional to 4,784.06 and 9,306.14 is: 18,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.06 : 9,306.14 = 9,306.14 : x
  2. Step 2: Convert to fraction form
    4,784.06/9,306.14 = 9,306.14/x
  3. Step 3: Cross multiply
    4,784.06x = 9,306.14 × 9,306.14
  4. Step 4: Simplify right side
    4,784.06x = 86,604,253.33
  5. Step 5: Solve for x
    x = 86,604,253.33/4,784.06
  6. Step 6: Final answer
    x = 18,102.66

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.