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Finding the Third Proportional to 37,715.75 and 51,953.75

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Solution

The third proportional to 37,715.75 and 51,953.75 is: 71,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,715.75 : 51,953.75 = 51,953.75 : x
  2. Step 2: Convert to fraction form
    37,715.75/51,953.75 = 51,953.75/x
  3. Step 3: Cross multiply
    37,715.75x = 51,953.75 × 51,953.75
  4. Step 4: Simplify right side
    37,715.75x = 2,699,192,139.06
  5. Step 5: Solve for x
    x = 2,699,192,139.06/37,715.75
  6. Step 6: Final answer
    x = 71,566.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.