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Finding the Third Proportional to 21,007.69 and 45,201.38

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Solution

The third proportional to 21,007.69 and 45,201.38 is: 97,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.69 : 45,201.38 = 45,201.38 : x
  2. Step 2: Convert to fraction form
    21,007.69/45,201.38 = 45,201.38/x
  3. Step 3: Cross multiply
    21,007.69x = 45,201.38 × 45,201.38
  4. Step 4: Simplify right side
    21,007.69x = 2,043,164,301.89
  5. Step 5: Solve for x
    x = 2,043,164,301.89/21,007.69
  6. Step 6: Final answer
    x = 97,257.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.