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Finding the Third Proportional to 21,648 and 46,536

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Solution

The third proportional to 21,648 and 46,536 is: 100,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,648 : 46,536 = 46,536 : x
  2. Step 2: Convert to fraction form
    21,648/46,536 = 46,536/x
  3. Step 3: Cross multiply
    21,648x = 46,536 × 46,536
  4. Step 4: Simplify right side
    21,648x = 2,165,599,296
  5. Step 5: Solve for x
    x = 2,165,599,296/21,648
  6. Step 6: Final answer
    x = 100,036.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.