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Finding the Third Proportional to 2,510.02 and 5,217.47

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Solution

The third proportional to 2,510.02 and 5,217.47 is: 10,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.02 : 5,217.47 = 5,217.47 : x
  2. Step 2: Convert to fraction form
    2,510.02/5,217.47 = 5,217.47/x
  3. Step 3: Cross multiply
    2,510.02x = 5,217.47 × 5,217.47
  4. Step 4: Simplify right side
    2,510.02x = 27,221,980.16
  5. Step 5: Solve for x
    x = 27,221,980.16/2,510.02
  6. Step 6: Final answer
    x = 10,845.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.