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Finding the Third Proportional to 7,416 and 16,289

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Solution

The third proportional to 7,416 and 16,289 is: 35,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416 : 16,289 = 16,289 : x
  2. Step 2: Convert to fraction form
    7,416/16,289 = 16,289/x
  3. Step 3: Cross multiply
    7,416x = 16,289 × 16,289
  4. Step 4: Simplify right side
    7,416x = 265,331,521
  5. Step 5: Solve for x
    x = 265,331,521/7,416
  6. Step 6: Final answer
    x = 35,778.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.