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Finding the Third Proportional to 33,250 and 50,740

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Solution

The third proportional to 33,250 and 50,740 is: 77,430.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,250 : 50,740 = 50,740 : x
  2. Step 2: Convert to fraction form
    33,250/50,740 = 50,740/x
  3. Step 3: Cross multiply
    33,250x = 50,740 × 50,740
  4. Step 4: Simplify right side
    33,250x = 2,574,547,600
  5. Step 5: Solve for x
    x = 2,574,547,600/33,250
  6. Step 6: Final answer
    x = 77,430.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.