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Finding the Third Proportional to 21,067.22 and 45,232.69

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Solution

The third proportional to 21,067.22 and 45,232.69 is: 97,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,067.22 : 45,232.69 = 45,232.69 : x
  2. Step 2: Convert to fraction form
    21,067.22/45,232.69 = 45,232.69/x
  3. Step 3: Cross multiply
    21,067.22x = 45,232.69 × 45,232.69
  4. Step 4: Simplify right side
    21,067.22x = 2,045,996,018.47
  5. Step 5: Solve for x
    x = 2,045,996,018.47/21,067.22
  6. Step 6: Final answer
    x = 97,117.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.