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Finding the Third Proportional to 37,244.38 and 53,204.06

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Solution

The third proportional to 37,244.38 and 53,204.06 is: 76,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,244.38 : 53,204.06 = 53,204.06 : x
  2. Step 2: Convert to fraction form
    37,244.38/53,204.06 = 53,204.06/x
  3. Step 3: Cross multiply
    37,244.38x = 53,204.06 × 53,204.06
  4. Step 4: Simplify right side
    37,244.38x = 2,830,672,266.50
  5. Step 5: Solve for x
    x = 2,830,672,266.50/37,244.38
  6. Step 6: Final answer
    x = 76,002.68

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.