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Finding the Third Proportional to 2,888.16 and 6,253.03

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Solution

The third proportional to 2,888.16 and 6,253.03 is: 13,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.16 : 6,253.03 = 6,253.03 : x
  2. Step 2: Convert to fraction form
    2,888.16/6,253.03 = 6,253.03/x
  3. Step 3: Cross multiply
    2,888.16x = 6,253.03 × 6,253.03
  4. Step 4: Simplify right side
    2,888.16x = 39,100,399.81
  5. Step 5: Solve for x
    x = 39,100,399.81/2,888.16
  6. Step 6: Final answer
    x = 13,538.19

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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.