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Finding the Third Proportional to 19,904 and 26,416

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Solution

The third proportional to 19,904 and 26,416 is: 35,058.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,904 : 26,416 = 26,416 : x
  2. Step 2: Convert to fraction form
    19,904/26,416 = 26,416/x
  3. Step 3: Cross multiply
    19,904x = 26,416 × 26,416
  4. Step 4: Simplify right side
    19,904x = 697,805,056
  5. Step 5: Solve for x
    x = 697,805,056/19,904
  6. Step 6: Final answer
    x = 35,058.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.