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Finding the Third Proportional to 19,005 and 25,896

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Solution

The third proportional to 19,005 and 25,896 is: 35,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,005 : 25,896 = 25,896 : x
  2. Step 2: Convert to fraction form
    19,005/25,896 = 25,896/x
  3. Step 3: Cross multiply
    19,005x = 25,896 × 25,896
  4. Step 4: Simplify right side
    19,005x = 670,602,816
  5. Step 5: Solve for x
    x = 670,602,816/19,005
  6. Step 6: Final answer
    x = 35,285.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.