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Finding the Third Proportional to 21,178.13 and 46,021.50

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Solution

The third proportional to 21,178.13 and 46,021.50 is: 100,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.13 : 46,021.50 = 46,021.50 : x
  2. Step 2: Convert to fraction form
    21,178.13/46,021.50 = 46,021.50/x
  3. Step 3: Cross multiply
    21,178.13x = 46,021.50 × 46,021.50
  4. Step 4: Simplify right side
    21,178.13x = 2,117,978,462.25
  5. Step 5: Solve for x
    x = 2,117,978,462.25/21,178.13
  6. Step 6: Final answer
    x = 100,007.84

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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.