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Finding the Third Proportional to 8,286 and 17,531.63

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Solution

The third proportional to 8,286 and 17,531.63 is: 37,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286 : 17,531.63 = 17,531.63 : x
  2. Step 2: Convert to fraction form
    8,286/17,531.63 = 17,531.63/x
  3. Step 3: Cross multiply
    8,286x = 17,531.63 × 17,531.63
  4. Step 4: Simplify right side
    8,286x = 307,357,875.14
  5. Step 5: Solve for x
    x = 307,357,875.14/8,286
  6. Step 6: Final answer
    x = 37,093.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.