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Finding the Third Proportional to 19,476 and 30,508.13

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Solution

The third proportional to 19,476 and 30,508.13 is: 47,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,476 : 30,508.13 = 30,508.13 : x
  2. Step 2: Convert to fraction form
    19,476/30,508.13 = 30,508.13/x
  3. Step 3: Cross multiply
    19,476x = 30,508.13 × 30,508.13
  4. Step 4: Simplify right side
    19,476x = 930,745,691.02
  5. Step 5: Solve for x
    x = 930,745,691.02/19,476
  6. Step 6: Final answer
    x = 47,789.37

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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.