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Finding the Third Proportional to 6,740 and 14,516

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Solution

The third proportional to 6,740 and 14,516 is: 31,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740 : 14,516 = 14,516 : x
  2. Step 2: Convert to fraction form
    6,740/14,516 = 14,516/x
  3. Step 3: Cross multiply
    6,740x = 14,516 × 14,516
  4. Step 4: Simplify right side
    6,740x = 210,714,256
  5. Step 5: Solve for x
    x = 210,714,256/6,740
  6. Step 6: Final answer
    x = 31,263.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.