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Finding the Third Proportional to 31,984.88 and 66,020.06

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Solution

The third proportional to 31,984.88 and 66,020.06 is: 136,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984.88 : 66,020.06 = 66,020.06 : x
  2. Step 2: Convert to fraction form
    31,984.88/66,020.06 = 66,020.06/x
  3. Step 3: Cross multiply
    31,984.88x = 66,020.06 × 66,020.06
  4. Step 4: Simplify right side
    31,984.88x = 4,358,648,652.50
  5. Step 5: Solve for x
    x = 4,358,648,652.50/31,984.88
  6. Step 6: Final answer
    x = 136,272.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.