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Finding the Third Proportional to 42,858 and 62,611.50

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Solution

The third proportional to 42,858 and 62,611.50 is: 91,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,858 : 62,611.50 = 62,611.50 : x
  2. Step 2: Convert to fraction form
    42,858/62,611.50 = 62,611.50/x
  3. Step 3: Cross multiply
    42,858x = 62,611.50 × 62,611.50
  4. Step 4: Simplify right side
    42,858x = 3,920,199,932.25
  5. Step 5: Solve for x
    x = 3,920,199,932.25/42,858
  6. Step 6: Final answer
    x = 91,469.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.