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Finding the Third Proportional to 21,152 and 45,119

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Solution

The third proportional to 21,152 and 45,119 is: 96,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152 : 45,119 = 45,119 : x
  2. Step 2: Convert to fraction form
    21,152/45,119 = 45,119/x
  3. Step 3: Cross multiply
    21,152x = 45,119 × 45,119
  4. Step 4: Simplify right side
    21,152x = 2,035,724,161
  5. Step 5: Solve for x
    x = 2,035,724,161/21,152
  6. Step 6: Final answer
    x = 96,242.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.