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Finding the Third Proportional to 1,865.21 and 2,802.41

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Solution

The third proportional to 1,865.21 and 2,802.41 is: 4,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.21 : 2,802.41 = 2,802.41 : x
  2. Step 2: Convert to fraction form
    1,865.21/2,802.41 = 2,802.41/x
  3. Step 3: Cross multiply
    1,865.21x = 2,802.41 × 2,802.41
  4. Step 4: Simplify right side
    1,865.21x = 7,853,502.68
  5. Step 5: Solve for x
    x = 7,853,502.68/1,865.21
  6. Step 6: Final answer
    x = 4,210.51

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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.