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Finding the Third Proportional to 45,938 and 64,686

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Solution

The third proportional to 45,938 and 64,686 is: 91,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,938 : 64,686 = 64,686 : x
  2. Step 2: Convert to fraction form
    45,938/64,686 = 64,686/x
  3. Step 3: Cross multiply
    45,938x = 64,686 × 64,686
  4. Step 4: Simplify right side
    45,938x = 4,184,278,596
  5. Step 5: Solve for x
    x = 4,184,278,596/45,938
  6. Step 6: Final answer
    x = 91,085.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.