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Finding the Third Proportional to 6,304.71 and 9,756.07

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Solution

The third proportional to 6,304.71 and 9,756.07 is: 15,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.71 : 9,756.07 = 9,756.07 : x
  2. Step 2: Convert to fraction form
    6,304.71/9,756.07 = 9,756.07/x
  3. Step 3: Cross multiply
    6,304.71x = 9,756.07 × 9,756.07
  4. Step 4: Simplify right side
    6,304.71x = 95,180,907.94
  5. Step 5: Solve for x
    x = 95,180,907.94/6,304.71
  6. Step 6: Final answer
    x = 15,096.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.