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Finding the Third Proportional to 19,122 and 25,760

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Solution

The third proportional to 19,122 and 25,760 is: 34,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122 : 25,760 = 25,760 : x
  2. Step 2: Convert to fraction form
    19,122/25,760 = 25,760/x
  3. Step 3: Cross multiply
    19,122x = 25,760 × 25,760
  4. Step 4: Simplify right side
    19,122x = 663,577,600
  5. Step 5: Solve for x
    x = 663,577,600/19,122
  6. Step 6: Final answer
    x = 34,702.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.