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Finding the Third Proportional to 12,053.25 and 19,244.25

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Solution

The third proportional to 12,053.25 and 19,244.25 is: 30,725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.25 : 19,244.25 = 19,244.25 : x
  2. Step 2: Convert to fraction form
    12,053.25/19,244.25 = 19,244.25/x
  3. Step 3: Cross multiply
    12,053.25x = 19,244.25 × 19,244.25
  4. Step 4: Simplify right side
    12,053.25x = 370,341,158.06
  5. Step 5: Solve for x
    x = 370,341,158.06/12,053.25
  6. Step 6: Final answer
    x = 30,725.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.