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Finding the Third Proportional to 2,888.91 and 4,128.28

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Solution

The third proportional to 2,888.91 and 4,128.28 is: 5,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.91 : 4,128.28 = 4,128.28 : x
  2. Step 2: Convert to fraction form
    2,888.91/4,128.28 = 4,128.28/x
  3. Step 3: Cross multiply
    2,888.91x = 4,128.28 × 4,128.28
  4. Step 4: Simplify right side
    2,888.91x = 17,042,706.08
  5. Step 5: Solve for x
    x = 17,042,706.08/2,888.91
  6. Step 6: Final answer
    x = 5,899.36

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.