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Finding the Third Proportional to 15,416 and 23,233

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Solution

The third proportional to 15,416 and 23,233 is: 35,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416 : 23,233 = 23,233 : x
  2. Step 2: Convert to fraction form
    15,416/23,233 = 23,233/x
  3. Step 3: Cross multiply
    15,416x = 23,233 × 23,233
  4. Step 4: Simplify right side
    15,416x = 539,772,289
  5. Step 5: Solve for x
    x = 539,772,289/15,416
  6. Step 6: Final answer
    x = 35,013.77

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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.