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Finding the Third Proportional to 10,464.75 and 24,699.38

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Solution

The third proportional to 10,464.75 and 24,699.38 is: 58,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.75 : 24,699.38 = 24,699.38 : x
  2. Step 2: Convert to fraction form
    10,464.75/24,699.38 = 24,699.38/x
  3. Step 3: Cross multiply
    10,464.75x = 24,699.38 × 24,699.38
  4. Step 4: Simplify right side
    10,464.75x = 610,059,125.39
  5. Step 5: Solve for x
    x = 610,059,125.39/10,464.75
  6. Step 6: Final answer
    x = 58,296.58

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.