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Finding the Third Proportional to 51,032.25 and 66,706.88

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Solution

The third proportional to 51,032.25 and 66,706.88 is: 87,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,032.25 : 66,706.88 = 66,706.88 : x
  2. Step 2: Convert to fraction form
    51,032.25/66,706.88 = 66,706.88/x
  3. Step 3: Cross multiply
    51,032.25x = 66,706.88 × 66,706.88
  4. Step 4: Simplify right side
    51,032.25x = 4,449,807,172.27
  5. Step 5: Solve for x
    x = 4,449,807,172.27/51,032.25
  6. Step 6: Final answer
    x = 87,195.98

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.