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Finding the Third Proportional to 21,922 and 47,347.25

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Solution

The third proportional to 21,922 and 47,347.25 is: 102,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922 : 47,347.25 = 47,347.25 : x
  2. Step 2: Convert to fraction form
    21,922/47,347.25 = 47,347.25/x
  3. Step 3: Cross multiply
    21,922x = 47,347.25 × 47,347.25
  4. Step 4: Simplify right side
    21,922x = 2,241,762,082.56
  5. Step 5: Solve for x
    x = 2,241,762,082.56/21,922
  6. Step 6: Final answer
    x = 102,260.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.