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Finding the Third Proportional to 4,312.13 and 6,469.59

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Solution

The third proportional to 4,312.13 and 6,469.59 is: 9,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.13 : 6,469.59 = 6,469.59 : x
  2. Step 2: Convert to fraction form
    4,312.13/6,469.59 = 6,469.59/x
  3. Step 3: Cross multiply
    4,312.13x = 6,469.59 × 6,469.59
  4. Step 4: Simplify right side
    4,312.13x = 41,855,643.29
  5. Step 5: Solve for x
    x = 41,855,643.29/4,312.13
  6. Step 6: Final answer
    x = 9,706.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.