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Finding the Third Proportional to 4,429.13 and 5,412.94

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Solution

The third proportional to 4,429.13 and 5,412.94 is: 6,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429.13 : 5,412.94 = 5,412.94 : x
  2. Step 2: Convert to fraction form
    4,429.13/5,412.94 = 5,412.94/x
  3. Step 3: Cross multiply
    4,429.13x = 5,412.94 × 5,412.94
  4. Step 4: Simplify right side
    4,429.13x = 29,299,892.38
  5. Step 5: Solve for x
    x = 29,299,892.38/4,429.13
  6. Step 6: Final answer
    x = 6,615.28

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.