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Finding the Third Proportional to 11,464.03 and 24,598.69

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Solution

The third proportional to 11,464.03 and 24,598.69 is: 52,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.03 : 24,598.69 = 24,598.69 : x
  2. Step 2: Convert to fraction form
    11,464.03/24,598.69 = 24,598.69/x
  3. Step 3: Cross multiply
    11,464.03x = 24,598.69 × 24,598.69
  4. Step 4: Simplify right side
    11,464.03x = 605,095,426.72
  5. Step 5: Solve for x
    x = 605,095,426.72/11,464.03
  6. Step 6: Final answer
    x = 52,782.08

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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.