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Finding the Third Proportional to 6,740 and 14,554

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Solution

The third proportional to 6,740 and 14,554 is: 31,427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740 : 14,554 = 14,554 : x
  2. Step 2: Convert to fraction form
    6,740/14,554 = 14,554/x
  3. Step 3: Cross multiply
    6,740x = 14,554 × 14,554
  4. Step 4: Simplify right side
    6,740x = 211,818,916
  5. Step 5: Solve for x
    x = 211,818,916/6,740
  6. Step 6: Final answer
    x = 31,427.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.