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Finding the Third Proportional to 46,581 and 73,789

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Solution

The third proportional to 46,581 and 73,789 is: 116,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,581 : 73,789 = 73,789 : x
  2. Step 2: Convert to fraction form
    46,581/73,789 = 73,789/x
  3. Step 3: Cross multiply
    46,581x = 73,789 × 73,789
  4. Step 4: Simplify right side
    46,581x = 5,444,816,521
  5. Step 5: Solve for x
    x = 5,444,816,521/46,581
  6. Step 6: Final answer
    x = 116,889.21

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.