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Finding the Third Proportional to 31,108.50 and 66,582

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Solution

The third proportional to 31,108.50 and 66,582 is: 142,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.50 : 66,582 = 66,582 : x
  2. Step 2: Convert to fraction form
    31,108.50/66,582 = 66,582/x
  3. Step 3: Cross multiply
    31,108.50x = 66,582 × 66,582
  4. Step 4: Simplify right side
    31,108.50x = 4,433,162,724
  5. Step 5: Solve for x
    x = 4,433,162,724/31,108.50
  6. Step 6: Final answer
    x = 142,506.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.