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Finding the Third Proportional to 21,142.69 and 46,659.38

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Solution

The third proportional to 21,142.69 and 46,659.38 is: 102,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.69 : 46,659.38 = 46,659.38 : x
  2. Step 2: Convert to fraction form
    21,142.69/46,659.38 = 46,659.38/x
  3. Step 3: Cross multiply
    21,142.69x = 46,659.38 × 46,659.38
  4. Step 4: Simplify right side
    21,142.69x = 2,177,097,275.39
  5. Step 5: Solve for x
    x = 2,177,097,275.39/21,142.69
  6. Step 6: Final answer
    x = 102,971.64

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.