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Finding the Third Proportional to 19,296 and 40,960

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Solution

The third proportional to 19,296 and 40,960 is: 86,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296 : 40,960 = 40,960 : x
  2. Step 2: Convert to fraction form
    19,296/40,960 = 40,960/x
  3. Step 3: Cross multiply
    19,296x = 40,960 × 40,960
  4. Step 4: Simplify right side
    19,296x = 1,677,721,600
  5. Step 5: Solve for x
    x = 1,677,721,600/19,296
  6. Step 6: Final answer
    x = 86,946.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.