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Finding the Third Proportional to 21,343.50 and 46,691.44

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Solution

The third proportional to 21,343.50 and 46,691.44 is: 102,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.50 : 46,691.44 = 46,691.44 : x
  2. Step 2: Convert to fraction form
    21,343.50/46,691.44 = 46,691.44/x
  3. Step 3: Cross multiply
    21,343.50x = 46,691.44 × 46,691.44
  4. Step 4: Simplify right side
    21,343.50x = 2,180,090,335.82
  5. Step 5: Solve for x
    x = 2,180,090,335.82/21,343.50
  6. Step 6: Final answer
    x = 102,143.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.