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Finding the Third Proportional to 2,258.72 and 5,001.33

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Solution

The third proportional to 2,258.72 and 5,001.33 is: 11,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.72 : 5,001.33 = 5,001.33 : x
  2. Step 2: Convert to fraction form
    2,258.72/5,001.33 = 5,001.33/x
  3. Step 3: Cross multiply
    2,258.72x = 5,001.33 × 5,001.33
  4. Step 4: Simplify right side
    2,258.72x = 25,013,283.01
  5. Step 5: Solve for x
    x = 25,013,283.01/2,258.72
  6. Step 6: Final answer
    x = 11,074.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.