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Finding the Third Proportional to 1,900.34 and 3,054.59

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Solution

The third proportional to 1,900.34 and 3,054.59 is: 4,909.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.34 : 3,054.59 = 3,054.59 : x
  2. Step 2: Convert to fraction form
    1,900.34/3,054.59 = 3,054.59/x
  3. Step 3: Cross multiply
    1,900.34x = 3,054.59 × 3,054.59
  4. Step 4: Simplify right side
    1,900.34x = 9,330,495.25
  5. Step 5: Solve for x
    x = 9,330,495.25/1,900.34
  6. Step 6: Final answer
    x = 4,909.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.