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Finding the Third Proportional to 33,898.50 and 52,488

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Solution

The third proportional to 33,898.50 and 52,488 is: 81,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,898.50 : 52,488 = 52,488 : x
  2. Step 2: Convert to fraction form
    33,898.50/52,488 = 52,488/x
  3. Step 3: Cross multiply
    33,898.50x = 52,488 × 52,488
  4. Step 4: Simplify right side
    33,898.50x = 2,754,990,144
  5. Step 5: Solve for x
    x = 2,754,990,144/33,898.50
  6. Step 6: Final answer
    x = 81,271.74

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