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Finding the Third Proportional to 21,258 and 32,697

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Solution

The third proportional to 21,258 and 32,697 is: 50,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,258 : 32,697 = 32,697 : x
  2. Step 2: Convert to fraction form
    21,258/32,697 = 32,697/x
  3. Step 3: Cross multiply
    21,258x = 32,697 × 32,697
  4. Step 4: Simplify right side
    21,258x = 1,069,093,809
  5. Step 5: Solve for x
    x = 1,069,093,809/21,258
  6. Step 6: Final answer
    x = 50,291.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.