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Finding the Third Proportional to 46,471 and 73,858

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Solution

The third proportional to 46,471 and 73,858 is: 117,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,471 : 73,858 = 73,858 : x
  2. Step 2: Convert to fraction form
    46,471/73,858 = 73,858/x
  3. Step 3: Cross multiply
    46,471x = 73,858 × 73,858
  4. Step 4: Simplify right side
    46,471x = 5,455,004,164
  5. Step 5: Solve for x
    x = 5,455,004,164/46,471
  6. Step 6: Final answer
    x = 117,385.13

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.