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Finding the Third Proportional to 10,284 and 14,568

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Solution

The third proportional to 10,284 and 14,568 is: 20,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284 : 14,568 = 14,568 : x
  2. Step 2: Convert to fraction form
    10,284/14,568 = 14,568/x
  3. Step 3: Cross multiply
    10,284x = 14,568 × 14,568
  4. Step 4: Simplify right side
    10,284x = 212,226,624
  5. Step 5: Solve for x
    x = 212,226,624/10,284
  6. Step 6: Final answer
    x = 20,636.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.