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Finding the Third Proportional to 15,328 and 32,768

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Solution

The third proportional to 15,328 and 32,768 is: 70,051.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,328 : 32,768 = 32,768 : x
  2. Step 2: Convert to fraction form
    15,328/32,768 = 32,768/x
  3. Step 3: Cross multiply
    15,328x = 32,768 × 32,768
  4. Step 4: Simplify right side
    15,328x = 1,073,741,824
  5. Step 5: Solve for x
    x = 1,073,741,824/15,328
  6. Step 6: Final answer
    x = 70,051.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.