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Finding the Third Proportional to 19,126.13 and 31,148.30

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Solution

The third proportional to 19,126.13 and 31,148.30 is: 50,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,126.13 : 31,148.30 = 31,148.30 : x
  2. Step 2: Convert to fraction form
    19,126.13/31,148.30 = 31,148.30/x
  3. Step 3: Cross multiply
    19,126.13x = 31,148.30 × 31,148.30
  4. Step 4: Simplify right side
    19,126.13x = 970,216,398.21
  5. Step 5: Solve for x
    x = 970,216,398.21/19,126.13
  6. Step 6: Final answer
    x = 50,727.29

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.