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Finding the Third Proportional to 21,516.47 and 35,557.31

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Solution

The third proportional to 21,516.47 and 35,557.31 is: 58,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516.47 : 35,557.31 = 35,557.31 : x
  2. Step 2: Convert to fraction form
    21,516.47/35,557.31 = 35,557.31/x
  3. Step 3: Cross multiply
    21,516.47x = 35,557.31 × 35,557.31
  4. Step 4: Simplify right side
    21,516.47x = 1,264,322,472.22
  5. Step 5: Solve for x
    x = 1,264,322,472.22/21,516.47
  6. Step 6: Final answer
    x = 58,760.69

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.