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Finding the Third Proportional to 19,723 and 26,575

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Solution

The third proportional to 19,723 and 26,575 is: 35,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,723 : 26,575 = 26,575 : x
  2. Step 2: Convert to fraction form
    19,723/26,575 = 26,575/x
  3. Step 3: Cross multiply
    19,723x = 26,575 × 26,575
  4. Step 4: Simplify right side
    19,723x = 706,230,625
  5. Step 5: Solve for x
    x = 706,230,625/19,723
  6. Step 6: Final answer
    x = 35,807.46

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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.