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Finding the Third Proportional to 2,923.07 and 4,457.57

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Solution

The third proportional to 2,923.07 and 4,457.57 is: 6,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.07 : 4,457.57 = 4,457.57 : x
  2. Step 2: Convert to fraction form
    2,923.07/4,457.57 = 4,457.57/x
  3. Step 3: Cross multiply
    2,923.07x = 4,457.57 × 4,457.57
  4. Step 4: Simplify right side
    2,923.07x = 19,869,898.27
  5. Step 5: Solve for x
    x = 19,869,898.27/2,923.07
  6. Step 6: Final answer
    x = 6,797.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.