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Finding the Third Proportional to 4,312.69 and 6,593.06

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Solution

The third proportional to 4,312.69 and 6,593.06 is: 10,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.69 : 6,593.06 = 6,593.06 : x
  2. Step 2: Convert to fraction form
    4,312.69/6,593.06 = 6,593.06/x
  3. Step 3: Cross multiply
    4,312.69x = 6,593.06 × 6,593.06
  4. Step 4: Simplify right side
    4,312.69x = 43,468,473.13
  5. Step 5: Solve for x
    x = 43,468,473.13/4,312.69
  6. Step 6: Final answer
    x = 10,079.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.