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Finding the Third Proportional to 19,032 and 28,562

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Solution

The third proportional to 19,032 and 28,562 is: 42,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,032 : 28,562 = 28,562 : x
  2. Step 2: Convert to fraction form
    19,032/28,562 = 28,562/x
  3. Step 3: Cross multiply
    19,032x = 28,562 × 28,562
  4. Step 4: Simplify right side
    19,032x = 815,787,844
  5. Step 5: Solve for x
    x = 815,787,844/19,032
  6. Step 6: Final answer
    x = 42,864.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.