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Finding the Third Proportional to 19,176 and 25,908

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Solution

The third proportional to 19,176 and 25,908 is: 35,003.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,176 : 25,908 = 25,908 : x
  2. Step 2: Convert to fraction form
    19,176/25,908 = 25,908/x
  3. Step 3: Cross multiply
    19,176x = 25,908 × 25,908
  4. Step 4: Simplify right side
    19,176x = 671,224,464
  5. Step 5: Solve for x
    x = 671,224,464/19,176
  6. Step 6: Final answer
    x = 35,003.36

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1.5x scale

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.