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Finding the Third Proportional to 1,762.31 and 3,828.28

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Solution

The third proportional to 1,762.31 and 3,828.28 is: 8,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.31 : 3,828.28 = 3,828.28 : x
  2. Step 2: Convert to fraction form
    1,762.31/3,828.28 = 3,828.28/x
  3. Step 3: Cross multiply
    1,762.31x = 3,828.28 × 3,828.28
  4. Step 4: Simplify right side
    1,762.31x = 14,655,737.33
  5. Step 5: Solve for x
    x = 14,655,737.33/1,762.31
  6. Step 6: Final answer
    x = 8,316.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.