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Finding the Third Proportional to 19,849 and 29,503.50

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Solution

The third proportional to 19,849 and 29,503.50 is: 43,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,849 : 29,503.50 = 29,503.50 : x
  2. Step 2: Convert to fraction form
    19,849/29,503.50 = 29,503.50/x
  3. Step 3: Cross multiply
    19,849x = 29,503.50 × 29,503.50
  4. Step 4: Simplify right side
    19,849x = 870,456,512.25
  5. Step 5: Solve for x
    x = 870,456,512.25/19,849
  6. Step 6: Final answer
    x = 43,853.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.