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Finding the Third Proportional to 12,664.13 and 29,317.64

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Solution

The third proportional to 12,664.13 and 29,317.64 is: 67,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.13 : 29,317.64 = 29,317.64 : x
  2. Step 2: Convert to fraction form
    12,664.13/29,317.64 = 29,317.64/x
  3. Step 3: Cross multiply
    12,664.13x = 29,317.64 × 29,317.64
  4. Step 4: Simplify right side
    12,664.13x = 859,524,051.82
  5. Step 5: Solve for x
    x = 859,524,051.82/12,664.13
  6. Step 6: Final answer
    x = 67,870.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.