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Finding the Third Proportional to 19,400.13 and 30,452.84

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Solution

The third proportional to 19,400.13 and 30,452.84 is: 47,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400.13 : 30,452.84 = 30,452.84 : x
  2. Step 2: Convert to fraction form
    19,400.13/30,452.84 = 30,452.84/x
  3. Step 3: Cross multiply
    19,400.13x = 30,452.84 × 30,452.84
  4. Step 4: Simplify right side
    19,400.13x = 927,375,216.64
  5. Step 5: Solve for x
    x = 927,375,216.64/19,400.13
  6. Step 6: Final answer
    x = 47,802.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.