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Finding the Third Proportional to 993.66 and 2,124.28

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Solution

The third proportional to 993.66 and 2,124.28 is: 4,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.66 : 2,124.28 = 2,124.28 : x
  2. Step 2: Convert to fraction form
    993.66/2,124.28 = 2,124.28/x
  3. Step 3: Cross multiply
    993.66x = 2,124.28 × 2,124.28
  4. Step 4: Simplify right side
    993.66x = 4,512,570.83
  5. Step 5: Solve for x
    x = 4,512,570.83/993.66
  6. Step 6: Final answer
    x = 4,541.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.