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Finding the Third Proportional to 4,872 and 7,352.25

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Solution

The third proportional to 4,872 and 7,352.25 is: 11,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872 : 7,352.25 = 7,352.25 : x
  2. Step 2: Convert to fraction form
    4,872/7,352.25 = 7,352.25/x
  3. Step 3: Cross multiply
    4,872x = 7,352.25 × 7,352.25
  4. Step 4: Simplify right side
    4,872x = 54,055,580.06
  5. Step 5: Solve for x
    x = 54,055,580.06/4,872
  6. Step 6: Final answer
    x = 11,095.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.