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Finding the Third Proportional to 7,994 and 17,354

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Solution

The third proportional to 7,994 and 17,354 is: 37,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994 : 17,354 = 17,354 : x
  2. Step 2: Convert to fraction form
    7,994/17,354 = 17,354/x
  3. Step 3: Cross multiply
    7,994x = 17,354 × 17,354
  4. Step 4: Simplify right side
    7,994x = 301,161,316
  5. Step 5: Solve for x
    x = 301,161,316/7,994
  6. Step 6: Final answer
    x = 37,673.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.