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Finding the Third Proportional to 37,497.94 and 65,313.84

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Solution

The third proportional to 37,497.94 and 65,313.84 is: 113,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,497.94 : 65,313.84 = 65,313.84 : x
  2. Step 2: Convert to fraction form
    37,497.94/65,313.84 = 65,313.84/x
  3. Step 3: Cross multiply
    37,497.94x = 65,313.84 × 65,313.84
  4. Step 4: Simplify right side
    37,497.94x = 4,265,898,185.40
  5. Step 5: Solve for x
    x = 4,265,898,185.40/37,497.94
  6. Step 6: Final answer
    x = 113,763.54

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.