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Finding the Third Proportional to 19,094 and 28,643

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Solution

The third proportional to 19,094 and 28,643 is: 42,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,094 : 28,643 = 28,643 : x
  2. Step 2: Convert to fraction form
    19,094/28,643 = 28,643/x
  3. Step 3: Cross multiply
    19,094x = 28,643 × 28,643
  4. Step 4: Simplify right side
    19,094x = 820,421,449
  5. Step 5: Solve for x
    x = 820,421,449/19,094
  6. Step 6: Final answer
    x = 42,967.50

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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.