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Finding the Third Proportional to 7,819 and 16,283

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Solution

The third proportional to 7,819 and 16,283 is: 33,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819 : 16,283 = 16,283 : x
  2. Step 2: Convert to fraction form
    7,819/16,283 = 16,283/x
  3. Step 3: Cross multiply
    7,819x = 16,283 × 16,283
  4. Step 4: Simplify right side
    7,819x = 265,136,089
  5. Step 5: Solve for x
    x = 265,136,089/7,819
  6. Step 6: Final answer
    x = 33,909.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.