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Finding the Third Proportional to 24,994 and 37,747.50

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Solution

The third proportional to 24,994 and 37,747.50 is: 57,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,994 : 37,747.50 = 37,747.50 : x
  2. Step 2: Convert to fraction form
    24,994/37,747.50 = 37,747.50/x
  3. Step 3: Cross multiply
    24,994x = 37,747.50 × 37,747.50
  4. Step 4: Simplify right side
    24,994x = 1,424,873,756.25
  5. Step 5: Solve for x
    x = 1,424,873,756.25/24,994
  6. Step 6: Final answer
    x = 57,008.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.