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Finding the Third Proportional to 31,714.31 and 69,706.03

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Solution

The third proportional to 31,714.31 and 69,706.03 is: 153,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.31 : 69,706.03 = 69,706.03 : x
  2. Step 2: Convert to fraction form
    31,714.31/69,706.03 = 69,706.03/x
  3. Step 3: Cross multiply
    31,714.31x = 69,706.03 × 69,706.03
  4. Step 4: Simplify right side
    31,714.31x = 4,858,930,792.63
  5. Step 5: Solve for x
    x = 4,858,930,792.63/31,714.31
  6. Step 6: Final answer
    x = 153,209.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.