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Finding the Third Proportional to 33,534 and 44,554.50

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Solution

The third proportional to 33,534 and 44,554.50 is: 59,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534 : 44,554.50 = 44,554.50 : x
  2. Step 2: Convert to fraction form
    33,534/44,554.50 = 44,554.50/x
  3. Step 3: Cross multiply
    33,534x = 44,554.50 × 44,554.50
  4. Step 4: Simplify right side
    33,534x = 1,985,103,470.25
  5. Step 5: Solve for x
    x = 1,985,103,470.25/33,534
  6. Step 6: Final answer
    x = 59,196.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.