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Finding the Third Proportional to 21,400.45 and 45,768.80

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Solution

The third proportional to 21,400.45 and 45,768.80 is: 97,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.45 : 45,768.80 = 45,768.80 : x
  2. Step 2: Convert to fraction form
    21,400.45/45,768.80 = 45,768.80/x
  3. Step 3: Cross multiply
    21,400.45x = 45,768.80 × 45,768.80
  4. Step 4: Simplify right side
    21,400.45x = 2,094,782,767.39
  5. Step 5: Solve for x
    x = 2,094,782,767.39/21,400.45
  6. Step 6: Final answer
    x = 97,884.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.