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Finding the Third Proportional to 4,886.25 and 10,532.81

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Solution

The third proportional to 4,886.25 and 10,532.81 is: 22,704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.25 : 10,532.81 = 10,532.81 : x
  2. Step 2: Convert to fraction form
    4,886.25/10,532.81 = 10,532.81/x
  3. Step 3: Cross multiply
    4,886.25x = 10,532.81 × 10,532.81
  4. Step 4: Simplify right side
    4,886.25x = 110,940,139.16
  5. Step 5: Solve for x
    x = 110,940,139.16/4,886.25
  6. Step 6: Final answer
    x = 22,704.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.