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Finding the Third Proportional to 20,784 and 45,943

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Solution

The third proportional to 20,784 and 45,943 is: 101,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784 : 45,943 = 45,943 : x
  2. Step 2: Convert to fraction form
    20,784/45,943 = 45,943/x
  3. Step 3: Cross multiply
    20,784x = 45,943 × 45,943
  4. Step 4: Simplify right side
    20,784x = 2,110,759,249
  5. Step 5: Solve for x
    x = 2,110,759,249/20,784
  6. Step 6: Final answer
    x = 101,556.93

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Why These Related Problems?

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