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Finding the Third Proportional to 12,568 and 14,360

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Solution

The third proportional to 12,568 and 14,360 is: 16,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568 : 14,360 = 14,360 : x
  2. Step 2: Convert to fraction form
    12,568/14,360 = 14,360/x
  3. Step 3: Cross multiply
    12,568x = 14,360 × 14,360
  4. Step 4: Simplify right side
    12,568x = 206,209,600
  5. Step 5: Solve for x
    x = 206,209,600/12,568
  6. Step 6: Final answer
    x = 16,407.51

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.