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Finding the Third Proportional to 1,900.88 and 5,125.88

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Solution

The third proportional to 1,900.88 and 5,125.88 is: 13,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.88 : 5,125.88 = 5,125.88 : x
  2. Step 2: Convert to fraction form
    1,900.88/5,125.88 = 5,125.88/x
  3. Step 3: Cross multiply
    1,900.88x = 5,125.88 × 5,125.88
  4. Step 4: Simplify right side
    1,900.88x = 26,274,594.52
  5. Step 5: Solve for x
    x = 26,274,594.52/1,900.88
  6. Step 6: Final answer
    x = 13,822.37

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.