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Finding the Third Proportional to 37,224.56 and 76,977.84

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Solution

The third proportional to 37,224.56 and 76,977.84 is: 159,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,224.56 : 76,977.84 = 76,977.84 : x
  2. Step 2: Convert to fraction form
    37,224.56/76,977.84 = 76,977.84/x
  3. Step 3: Cross multiply
    37,224.56x = 76,977.84 × 76,977.84
  4. Step 4: Simplify right side
    37,224.56x = 5,925,588,428.40
  5. Step 5: Solve for x
    x = 5,925,588,428.40/37,224.56
  6. Step 6: Final answer
    x = 159,184.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.