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Finding the Third Proportional to 22,245 and 34,432.50

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Solution

The third proportional to 22,245 and 34,432.50 is: 53,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,245 : 34,432.50 = 34,432.50 : x
  2. Step 2: Convert to fraction form
    22,245/34,432.50 = 34,432.50/x
  3. Step 3: Cross multiply
    22,245x = 34,432.50 × 34,432.50
  4. Step 4: Simplify right side
    22,245x = 1,185,597,056.25
  5. Step 5: Solve for x
    x = 1,185,597,056.25/22,245
  6. Step 6: Final answer
    x = 53,297.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.