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Finding the Third Proportional to 1,862.86 and 4,028.20

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Solution

The third proportional to 1,862.86 and 4,028.20 is: 8,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.86 : 4,028.20 = 4,028.20 : x
  2. Step 2: Convert to fraction form
    1,862.86/4,028.20 = 4,028.20/x
  3. Step 3: Cross multiply
    1,862.86x = 4,028.20 × 4,028.20
  4. Step 4: Simplify right side
    1,862.86x = 16,226,420.42
  5. Step 5: Solve for x
    x = 16,226,420.42/1,862.86
  6. Step 6: Final answer
    x = 8,710.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.