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Finding the Third Proportional to 19,536 and 26,208

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Solution

The third proportional to 19,536 and 26,208 is: 35,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536 : 26,208 = 26,208 : x
  2. Step 2: Convert to fraction form
    19,536/26,208 = 26,208/x
  3. Step 3: Cross multiply
    19,536x = 26,208 × 26,208
  4. Step 4: Simplify right side
    19,536x = 686,859,264
  5. Step 5: Solve for x
    x = 686,859,264/19,536
  6. Step 6: Final answer
    x = 35,158.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.