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Finding the Third Proportional to 1,125.13 and 2,628.13

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Solution

The third proportional to 1,125.13 and 2,628.13 is: 6,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.13 : 2,628.13 = 2,628.13 : x
  2. Step 2: Convert to fraction form
    1,125.13/2,628.13 = 2,628.13/x
  3. Step 3: Cross multiply
    1,125.13x = 2,628.13 × 2,628.13
  4. Step 4: Simplify right side
    1,125.13x = 6,907,041.02
  5. Step 5: Solve for x
    x = 6,907,041.02/1,125.13
  6. Step 6: Final answer
    x = 6,138.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.