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Finding the Third Proportional to 4,869.28 and 10,485.28

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Solution

The third proportional to 4,869.28 and 10,485.28 is: 22,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.28 : 10,485.28 = 10,485.28 : x
  2. Step 2: Convert to fraction form
    4,869.28/10,485.28 = 10,485.28/x
  3. Step 3: Cross multiply
    4,869.28x = 10,485.28 × 10,485.28
  4. Step 4: Simplify right side
    4,869.28x = 109,941,122.89
  5. Step 5: Solve for x
    x = 109,941,122.89/4,869.28
  6. Step 6: Final answer
    x = 22,578.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.