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Finding the Third Proportional to 19,845 and 45,319.50

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Solution

The third proportional to 19,845 and 45,319.50 is: 103,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,845 : 45,319.50 = 45,319.50 : x
  2. Step 2: Convert to fraction form
    19,845/45,319.50 = 45,319.50/x
  3. Step 3: Cross multiply
    19,845x = 45,319.50 × 45,319.50
  4. Step 4: Simplify right side
    19,845x = 2,053,857,080.25
  5. Step 5: Solve for x
    x = 2,053,857,080.25/19,845
  6. Step 6: Final answer
    x = 103,494.94

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.