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Finding the Third Proportional to 42,501.75 and 62,514.75

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Solution

The third proportional to 42,501.75 and 62,514.75 is: 91,951.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,501.75 : 62,514.75 = 62,514.75 : x
  2. Step 2: Convert to fraction form
    42,501.75/62,514.75 = 62,514.75/x
  3. Step 3: Cross multiply
    42,501.75x = 62,514.75 × 62,514.75
  4. Step 4: Simplify right side
    42,501.75x = 3,908,093,967.56
  5. Step 5: Solve for x
    x = 3,908,093,967.56/42,501.75
  6. Step 6: Final answer
    x = 91,951.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.