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Finding the Third Proportional to 14,232 and 21,989.25

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Solution

The third proportional to 14,232 and 21,989.25 is: 33,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232 : 21,989.25 = 21,989.25 : x
  2. Step 2: Convert to fraction form
    14,232/21,989.25 = 21,989.25/x
  3. Step 3: Cross multiply
    14,232x = 21,989.25 × 21,989.25
  4. Step 4: Simplify right side
    14,232x = 483,527,115.56
  5. Step 5: Solve for x
    x = 483,527,115.56/14,232
  6. Step 6: Final answer
    x = 33,974.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.