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Finding the Third Proportional to 2,121.62 and 3,117.47

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Solution

The third proportional to 2,121.62 and 3,117.47 is: 4,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.62 : 3,117.47 = 3,117.47 : x
  2. Step 2: Convert to fraction form
    2,121.62/3,117.47 = 3,117.47/x
  3. Step 3: Cross multiply
    2,121.62x = 3,117.47 × 3,117.47
  4. Step 4: Simplify right side
    2,121.62x = 9,718,629.67
  5. Step 5: Solve for x
    x = 9,718,629.67/2,121.62
  6. Step 6: Final answer
    x = 4,580.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.