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Finding the Third Proportional to 19,872.84 and 26,635.08

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Solution

The third proportional to 19,872.84 and 26,635.08 is: 35,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.84 : 26,635.08 = 26,635.08 : x
  2. Step 2: Convert to fraction form
    19,872.84/26,635.08 = 26,635.08/x
  3. Step 3: Cross multiply
    19,872.84x = 26,635.08 × 26,635.08
  4. Step 4: Simplify right side
    19,872.84x = 709,427,386.72
  5. Step 5: Solve for x
    x = 709,427,386.72/19,872.84
  6. Step 6: Final answer
    x = 35,698.33

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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.