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Finding the Third Proportional to 37,368 and 54,614.50

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Solution

The third proportional to 37,368 and 54,614.50 is: 79,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,368 : 54,614.50 = 54,614.50 : x
  2. Step 2: Convert to fraction form
    37,368/54,614.50 = 54,614.50/x
  3. Step 3: Cross multiply
    37,368x = 54,614.50 × 54,614.50
  4. Step 4: Simplify right side
    37,368x = 2,982,743,610.25
  5. Step 5: Solve for x
    x = 2,982,743,610.25/37,368
  6. Step 6: Final answer
    x = 79,820.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.