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Finding the Third Proportional to 12,222.56 and 29,434.97

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Solution

The third proportional to 12,222.56 and 29,434.97 is: 70,886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.56 : 29,434.97 = 29,434.97 : x
  2. Step 2: Convert to fraction form
    12,222.56/29,434.97 = 29,434.97/x
  3. Step 3: Cross multiply
    12,222.56x = 29,434.97 × 29,434.97
  4. Step 4: Simplify right side
    12,222.56x = 866,417,385.31
  5. Step 5: Solve for x
    x = 866,417,385.31/12,222.56
  6. Step 6: Final answer
    x = 70,886.72

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.