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Finding the Third Proportional to 34,171.88 and 70,591.50

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Solution

The third proportional to 34,171.88 and 70,591.50 is: 145,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,171.88 : 70,591.50 = 70,591.50 : x
  2. Step 2: Convert to fraction form
    34,171.88/70,591.50 = 70,591.50/x
  3. Step 3: Cross multiply
    34,171.88x = 70,591.50 × 70,591.50
  4. Step 4: Simplify right side
    34,171.88x = 4,983,159,872.25
  5. Step 5: Solve for x
    x = 4,983,159,872.25/34,171.88
  6. Step 6: Final answer
    x = 145,826.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.