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Finding the Third Proportional to 4,457.11 and 7,056.49

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Solution

The third proportional to 4,457.11 and 7,056.49 is: 11,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.11 : 7,056.49 = 7,056.49 : x
  2. Step 2: Convert to fraction form
    4,457.11/7,056.49 = 7,056.49/x
  3. Step 3: Cross multiply
    4,457.11x = 7,056.49 × 7,056.49
  4. Step 4: Simplify right side
    4,457.11x = 49,794,081.99
  5. Step 5: Solve for x
    x = 49,794,081.99/4,457.11
  6. Step 6: Final answer
    x = 11,171.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.