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Finding the Third Proportional to 10,256 and 14,130

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Solution

The third proportional to 10,256 and 14,130 is: 19,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256 : 14,130 = 14,130 : x
  2. Step 2: Convert to fraction form
    10,256/14,130 = 14,130/x
  3. Step 3: Cross multiply
    10,256x = 14,130 × 14,130
  4. Step 4: Simplify right side
    10,256x = 199,656,900
  5. Step 5: Solve for x
    x = 199,656,900/10,256
  6. Step 6: Final answer
    x = 19,467.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.