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Finding the Third Proportional to 14,230 and 18,078

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Solution

The third proportional to 14,230 and 18,078 is: 22,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230 : 18,078 = 18,078 : x
  2. Step 2: Convert to fraction form
    14,230/18,078 = 18,078/x
  3. Step 3: Cross multiply
    14,230x = 18,078 × 18,078
  4. Step 4: Simplify right side
    14,230x = 326,814,084
  5. Step 5: Solve for x
    x = 326,814,084/14,230
  6. Step 6: Final answer
    x = 22,966.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.