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Finding the Third Proportional to 19,575 and 26,221

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Solution

The third proportional to 19,575 and 26,221 is: 35,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575 : 26,221 = 26,221 : x
  2. Step 2: Convert to fraction form
    19,575/26,221 = 26,221/x
  3. Step 3: Cross multiply
    19,575x = 26,221 × 26,221
  4. Step 4: Simplify right side
    19,575x = 687,540,841
  5. Step 5: Solve for x
    x = 687,540,841/19,575
  6. Step 6: Final answer
    x = 35,123.41

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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.