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Finding the Third Proportional to 14,465.25 and 21,852.56

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Solution

The third proportional to 14,465.25 and 21,852.56 is: 33,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.25 : 21,852.56 = 21,852.56 : x
  2. Step 2: Convert to fraction form
    14,465.25/21,852.56 = 21,852.56/x
  3. Step 3: Cross multiply
    14,465.25x = 21,852.56 × 21,852.56
  4. Step 4: Simplify right side
    14,465.25x = 477,534,487.82
  5. Step 5: Solve for x
    x = 477,534,487.82/14,465.25
  6. Step 6: Final answer
    x = 33,012.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.