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Finding the Third Proportional to 46,579 and 73,786

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Solution

The third proportional to 46,579 and 73,786 is: 116,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,579 : 73,786 = 73,786 : x
  2. Step 2: Convert to fraction form
    46,579/73,786 = 73,786/x
  3. Step 3: Cross multiply
    46,579x = 73,786 × 73,786
  4. Step 4: Simplify right side
    46,579x = 5,444,373,796
  5. Step 5: Solve for x
    x = 5,444,373,796/46,579
  6. Step 6: Final answer
    x = 116,884.73

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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.