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Finding the Third Proportional to 19,161 and 21,172.50

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Solution

The third proportional to 19,161 and 21,172.50 is: 23,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,161 : 21,172.50 = 21,172.50 : x
  2. Step 2: Convert to fraction form
    19,161/21,172.50 = 21,172.50/x
  3. Step 3: Cross multiply
    19,161x = 21,172.50 × 21,172.50
  4. Step 4: Simplify right side
    19,161x = 448,274,756.25
  5. Step 5: Solve for x
    x = 448,274,756.25/19,161
  6. Step 6: Final answer
    x = 23,395.16

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.