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Finding the Third Proportional to 1,819.13 and 4,897.55

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Solution

The third proportional to 1,819.13 and 4,897.55 is: 13,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.13 : 4,897.55 = 4,897.55 : x
  2. Step 2: Convert to fraction form
    1,819.13/4,897.55 = 4,897.55/x
  3. Step 3: Cross multiply
    1,819.13x = 4,897.55 × 4,897.55
  4. Step 4: Simplify right side
    1,819.13x = 23,985,965.39
  5. Step 5: Solve for x
    x = 23,985,965.39/1,819.13
  6. Step 6: Final answer
    x = 13,185.44

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.