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Finding the Third Proportional to 12,412.75 and 29,276.75

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Solution

The third proportional to 12,412.75 and 29,276.75 is: 69,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.75 : 29,276.75 = 29,276.75 : x
  2. Step 2: Convert to fraction form
    12,412.75/29,276.75 = 29,276.75/x
  3. Step 3: Cross multiply
    12,412.75x = 29,276.75 × 29,276.75
  4. Step 4: Simplify right side
    12,412.75x = 857,128,090.56
  5. Step 5: Solve for x
    x = 857,128,090.56/12,412.75
  6. Step 6: Final answer
    x = 69,052.23

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Why These Related Problems?

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