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Finding the Third Proportional to 13,018 and 14,230

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Solution

The third proportional to 13,018 and 14,230 is: 15,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018 : 14,230 = 14,230 : x
  2. Step 2: Convert to fraction form
    13,018/14,230 = 14,230/x
  3. Step 3: Cross multiply
    13,018x = 14,230 × 14,230
  4. Step 4: Simplify right side
    13,018x = 202,492,900
  5. Step 5: Solve for x
    x = 202,492,900/13,018
  6. Step 6: Final answer
    x = 15,554.84

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.