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Finding the Third Proportional to 13,490 and 27,648

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Solution

The third proportional to 13,490 and 27,648 is: 56,665.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490 : 27,648 = 27,648 : x
  2. Step 2: Convert to fraction form
    13,490/27,648 = 27,648/x
  3. Step 3: Cross multiply
    13,490x = 27,648 × 27,648
  4. Step 4: Simplify right side
    13,490x = 764,411,904
  5. Step 5: Solve for x
    x = 764,411,904/13,490
  6. Step 6: Final answer
    x = 56,665.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.