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Finding the Third Proportional to 20,974 and 46,610

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Solution

The third proportional to 20,974 and 46,610 is: 103,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974 : 46,610 = 46,610 : x
  2. Step 2: Convert to fraction form
    20,974/46,610 = 46,610/x
  3. Step 3: Cross multiply
    20,974x = 46,610 × 46,610
  4. Step 4: Simplify right side
    20,974x = 2,172,492,100
  5. Step 5: Solve for x
    x = 2,172,492,100/20,974
  6. Step 6: Final answer
    x = 103,580.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.