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Finding the Third Proportional to 20,132.25 and 46,808.25

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Solution

The third proportional to 20,132.25 and 46,808.25 is: 108,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.25 : 46,808.25 = 46,808.25 : x
  2. Step 2: Convert to fraction form
    20,132.25/46,808.25 = 46,808.25/x
  3. Step 3: Cross multiply
    20,132.25x = 46,808.25 × 46,808.25
  4. Step 4: Simplify right side
    20,132.25x = 2,191,012,268.06
  5. Step 5: Solve for x
    x = 2,191,012,268.06/20,132.25
  6. Step 6: Final answer
    x = 108,830.97

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.