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Finding the Third Proportional to 4,917 and 7,288.13

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Solution

The third proportional to 4,917 and 7,288.13 is: 10,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917 : 7,288.13 = 7,288.13 : x
  2. Step 2: Convert to fraction form
    4,917/7,288.13 = 7,288.13/x
  3. Step 3: Cross multiply
    4,917x = 7,288.13 × 7,288.13
  4. Step 4: Simplify right side
    4,917x = 53,116,766.02
  5. Step 5: Solve for x
    x = 53,116,766.02/4,917
  6. Step 6: Final answer
    x = 10,802.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.