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Finding the Third Proportional to 2,476.83 and 3,627.28

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Solution

The third proportional to 2,476.83 and 3,627.28 is: 5,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.83 : 3,627.28 = 3,627.28 : x
  2. Step 2: Convert to fraction form
    2,476.83/3,627.28 = 3,627.28/x
  3. Step 3: Cross multiply
    2,476.83x = 3,627.28 × 3,627.28
  4. Step 4: Simplify right side
    2,476.83x = 13,157,169.27
  5. Step 5: Solve for x
    x = 13,157,169.27/2,476.83
  6. Step 6: Final answer
    x = 5,312.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.