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Finding the Third Proportional to 13,740 and 19,410

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Solution

The third proportional to 13,740 and 19,410 is: 27,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740 : 19,410 = 19,410 : x
  2. Step 2: Convert to fraction form
    13,740/19,410 = 19,410/x
  3. Step 3: Cross multiply
    13,740x = 19,410 × 19,410
  4. Step 4: Simplify right side
    13,740x = 376,748,100
  5. Step 5: Solve for x
    x = 376,748,100/13,740
  6. Step 6: Final answer
    x = 27,419.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.