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Finding the Third Proportional to 6,174.19 and 9,574.69

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Solution

The third proportional to 6,174.19 and 9,574.69 is: 14,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.19 : 9,574.69 = 9,574.69 : x
  2. Step 2: Convert to fraction form
    6,174.19/9,574.69 = 9,574.69/x
  3. Step 3: Cross multiply
    6,174.19x = 9,574.69 × 9,574.69
  4. Step 4: Simplify right side
    6,174.19x = 91,674,640.72
  5. Step 5: Solve for x
    x = 91,674,640.72/6,174.19
  6. Step 6: Final answer
    x = 14,848.05

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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.