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Finding the Third Proportional to 15,913.88 and 34,680.94

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Solution

The third proportional to 15,913.88 and 34,680.94 is: 75,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.88 : 34,680.94 = 34,680.94 : x
  2. Step 2: Convert to fraction form
    15,913.88/34,680.94 = 34,680.94/x
  3. Step 3: Cross multiply
    15,913.88x = 34,680.94 × 34,680.94
  4. Step 4: Simplify right side
    15,913.88x = 1,202,767,425.88
  5. Step 5: Solve for x
    x = 1,202,767,425.88/15,913.88
  6. Step 6: Final answer
    x = 75,579.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.