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Finding the Third Proportional to 44,833.50 and 92,583

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Solution

The third proportional to 44,833.50 and 92,583 is: 191,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,833.50 : 92,583 = 92,583 : x
  2. Step 2: Convert to fraction form
    44,833.50/92,583 = 92,583/x
  3. Step 3: Cross multiply
    44,833.50x = 92,583 × 92,583
  4. Step 4: Simplify right side
    44,833.50x = 8,571,611,889
  5. Step 5: Solve for x
    x = 8,571,611,889/44,833.50
  6. Step 6: Final answer
    x = 191,187.66

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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.