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Finding the Third Proportional to 10,837.87 and 23,646.27

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Solution

The third proportional to 10,837.87 and 23,646.27 is: 51,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.87 : 23,646.27 = 23,646.27 : x
  2. Step 2: Convert to fraction form
    10,837.87/23,646.27 = 23,646.27/x
  3. Step 3: Cross multiply
    10,837.87x = 23,646.27 × 23,646.27
  4. Step 4: Simplify right side
    10,837.87x = 559,146,088.72
  5. Step 5: Solve for x
    x = 559,146,088.72/10,837.87
  6. Step 6: Final answer
    x = 51,591.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.