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Finding the Third Proportional to 34,378.50 and 76,528.50

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Solution

The third proportional to 34,378.50 and 76,528.50 is: 170,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,378.50 : 76,528.50 = 76,528.50 : x
  2. Step 2: Convert to fraction form
    34,378.50/76,528.50 = 76,528.50/x
  3. Step 3: Cross multiply
    34,378.50x = 76,528.50 × 76,528.50
  4. Step 4: Simplify right side
    34,378.50x = 5,856,611,312.25
  5. Step 5: Solve for x
    x = 5,856,611,312.25/34,378.50
  6. Step 6: Final answer
    x = 170,356.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.