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Finding the Third Proportional to 21,180.38 and 46,049.63

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Solution

The third proportional to 21,180.38 and 46,049.63 is: 100,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,180.38 : 46,049.63 = 46,049.63 : x
  2. Step 2: Convert to fraction form
    21,180.38/46,049.63 = 46,049.63/x
  3. Step 3: Cross multiply
    21,180.38x = 46,049.63 × 46,049.63
  4. Step 4: Simplify right side
    21,180.38x = 2,120,567,962.64
  5. Step 5: Solve for x
    x = 2,120,567,962.64/21,180.38
  6. Step 6: Final answer
    x = 100,119.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.