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Finding the Third Proportional to 14,084 and 18,310

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Solution

The third proportional to 14,084 and 18,310 is: 23,804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084 : 18,310 = 18,310 : x
  2. Step 2: Convert to fraction form
    14,084/18,310 = 18,310/x
  3. Step 3: Cross multiply
    14,084x = 18,310 × 18,310
  4. Step 4: Simplify right side
    14,084x = 335,256,100
  5. Step 5: Solve for x
    x = 335,256,100/14,084
  6. Step 6: Final answer
    x = 23,804.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.