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Finding the Third Proportional to 6,306.19 and 9,356.06

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Solution

The third proportional to 6,306.19 and 9,356.06 is: 13,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.19 : 9,356.06 = 9,356.06 : x
  2. Step 2: Convert to fraction form
    6,306.19/9,356.06 = 9,356.06/x
  3. Step 3: Cross multiply
    6,306.19x = 9,356.06 × 9,356.06
  4. Step 4: Simplify right side
    6,306.19x = 87,535,905.50
  5. Step 5: Solve for x
    x = 87,535,905.50/6,306.19
  6. Step 6: Final answer
    x = 13,880.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.