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Finding the Third Proportional to 10,686.94 and 25,813.69

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Solution

The third proportional to 10,686.94 and 25,813.69 is: 62,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.94 : 25,813.69 = 25,813.69 : x
  2. Step 2: Convert to fraction form
    10,686.94/25,813.69 = 25,813.69/x
  3. Step 3: Cross multiply
    10,686.94x = 25,813.69 × 25,813.69
  4. Step 4: Simplify right side
    10,686.94x = 666,346,462.35
  5. Step 5: Solve for x
    x = 666,346,462.35/10,686.94
  6. Step 6: Final answer
    x = 62,351.49

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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.