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Finding the Third Proportional to 19,469.11 and 30,501.14

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Solution

The third proportional to 19,469.11 and 30,501.14 is: 47,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,469.11 : 30,501.14 = 30,501.14 : x
  2. Step 2: Convert to fraction form
    19,469.11/30,501.14 = 30,501.14/x
  3. Step 3: Cross multiply
    19,469.11x = 30,501.14 × 30,501.14
  4. Step 4: Simplify right side
    19,469.11x = 930,319,579.43
  5. Step 5: Solve for x
    x = 930,319,579.43/19,469.11
  6. Step 6: Final answer
    x = 47,784.39

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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.