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Finding the Third Proportional to 33,448.50 and 51,820

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Solution

The third proportional to 33,448.50 and 51,820 is: 80,282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,448.50 : 51,820 = 51,820 : x
  2. Step 2: Convert to fraction form
    33,448.50/51,820 = 51,820/x
  3. Step 3: Cross multiply
    33,448.50x = 51,820 × 51,820
  4. Step 4: Simplify right side
    33,448.50x = 2,685,312,400
  5. Step 5: Solve for x
    x = 2,685,312,400/33,448.50
  6. Step 6: Final answer
    x = 80,282.00

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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.