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Finding the Third Proportional to 46,584 and 97,722

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Solution

The third proportional to 46,584 and 97,722 is: 204,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,584 : 97,722 = 97,722 : x
  2. Step 2: Convert to fraction form
    46,584/97,722 = 97,722/x
  3. Step 3: Cross multiply
    46,584x = 97,722 × 97,722
  4. Step 4: Simplify right side
    46,584x = 9,549,589,284
  5. Step 5: Solve for x
    x = 9,549,589,284/46,584
  6. Step 6: Final answer
    x = 204,997.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.