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Finding the Third Proportional to 10,360 and 14,645

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Solution

The third proportional to 10,360 and 14,645 is: 20,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360 : 14,645 = 14,645 : x
  2. Step 2: Convert to fraction form
    10,360/14,645 = 14,645/x
  3. Step 3: Cross multiply
    10,360x = 14,645 × 14,645
  4. Step 4: Simplify right side
    10,360x = 214,476,025
  5. Step 5: Solve for x
    x = 214,476,025/10,360
  6. Step 6: Final answer
    x = 20,702.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.