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Finding the Third Proportional to 46,586 and 73,803

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Solution

The third proportional to 46,586 and 73,803 is: 116,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,586 : 73,803 = 73,803 : x
  2. Step 2: Convert to fraction form
    46,586/73,803 = 73,803/x
  3. Step 3: Cross multiply
    46,586x = 73,803 × 73,803
  4. Step 4: Simplify right side
    46,586x = 5,446,882,809
  5. Step 5: Solve for x
    x = 5,446,882,809/46,586
  6. Step 6: Final answer
    x = 116,921.02

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Why These Related Problems?

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