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Finding the Third Proportional to 10,616.06 and 25,651.69

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Solution

The third proportional to 10,616.06 and 25,651.69 is: 61,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.06 : 25,651.69 = 25,651.69 : x
  2. Step 2: Convert to fraction form
    10,616.06/25,651.69 = 25,651.69/x
  3. Step 3: Cross multiply
    10,616.06x = 25,651.69 × 25,651.69
  4. Step 4: Simplify right side
    10,616.06x = 658,009,071.60
  5. Step 5: Solve for x
    x = 658,009,071.60/10,616.06
  6. Step 6: Final answer
    x = 61,982.40

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.