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Finding the Third Proportional to 21,202 and 45,895

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Solution

The third proportional to 21,202 and 45,895 is: 99,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202 : 45,895 = 45,895 : x
  2. Step 2: Convert to fraction form
    21,202/45,895 = 45,895/x
  3. Step 3: Cross multiply
    21,202x = 45,895 × 45,895
  4. Step 4: Simplify right side
    21,202x = 2,106,351,025
  5. Step 5: Solve for x
    x = 2,106,351,025/21,202
  6. Step 6: Final answer
    x = 99,346.81

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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.