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Finding the Third Proportional to 10,566 and 14,230

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Solution

The third proportional to 10,566 and 14,230 is: 19,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566 : 14,230 = 14,230 : x
  2. Step 2: Convert to fraction form
    10,566/14,230 = 14,230/x
  3. Step 3: Cross multiply
    10,566x = 14,230 × 14,230
  4. Step 4: Simplify right side
    10,566x = 202,492,900
  5. Step 5: Solve for x
    x = 202,492,900/10,566
  6. Step 6: Final answer
    x = 19,164.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.