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Finding the Third Proportional to 19,453.50 and 37,935

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Solution

The third proportional to 19,453.50 and 37,935 is: 73,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,453.50 : 37,935 = 37,935 : x
  2. Step 2: Convert to fraction form
    19,453.50/37,935 = 37,935/x
  3. Step 3: Cross multiply
    19,453.50x = 37,935 × 37,935
  4. Step 4: Simplify right side
    19,453.50x = 1,439,064,225
  5. Step 5: Solve for x
    x = 1,439,064,225/19,453.50
  6. Step 6: Final answer
    x = 73,974.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.