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Finding the Third Proportional to 13,416 and 27,728

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Solution

The third proportional to 13,416 and 27,728 is: 57,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416 : 27,728 = 27,728 : x
  2. Step 2: Convert to fraction form
    13,416/27,728 = 27,728/x
  3. Step 3: Cross multiply
    13,416x = 27,728 × 27,728
  4. Step 4: Simplify right side
    13,416x = 768,841,984
  5. Step 5: Solve for x
    x = 768,841,984/13,416
  6. Step 6: Final answer
    x = 57,307.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.