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Finding the Third Proportional to 21,289 and 32,229

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Solution

The third proportional to 21,289 and 32,229 is: 48,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,289 : 32,229 = 32,229 : x
  2. Step 2: Convert to fraction form
    21,289/32,229 = 32,229/x
  3. Step 3: Cross multiply
    21,289x = 32,229 × 32,229
  4. Step 4: Simplify right side
    21,289x = 1,038,708,441
  5. Step 5: Solve for x
    x = 1,038,708,441/21,289
  6. Step 6: Final answer
    x = 48,790.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.