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Finding the Third Proportional to 2,074.93 and 3,128.10

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Solution

The third proportional to 2,074.93 and 3,128.10 is: 4,715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.93 : 3,128.10 = 3,128.10 : x
  2. Step 2: Convert to fraction form
    2,074.93/3,128.10 = 3,128.10/x
  3. Step 3: Cross multiply
    2,074.93x = 3,128.10 × 3,128.10
  4. Step 4: Simplify right side
    2,074.93x = 9,785,029.10
  5. Step 5: Solve for x
    x = 9,785,029.10/2,074.93
  6. Step 6: Final answer
    x = 4,715.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.