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Finding the Third Proportional to 21,258.70 and 46,741.43

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Solution

The third proportional to 21,258.70 and 46,741.43 is: 102,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,258.70 : 46,741.43 = 46,741.43 : x
  2. Step 2: Convert to fraction form
    21,258.70/46,741.43 = 46,741.43/x
  3. Step 3: Cross multiply
    21,258.70x = 46,741.43 × 46,741.43
  4. Step 4: Simplify right side
    21,258.70x = 2,184,761,249.23
  5. Step 5: Solve for x
    x = 2,184,761,249.23/21,258.70
  6. Step 6: Final answer
    x = 102,770.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.