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Finding the Third Proportional to 21,556 and 46,648

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Solution

The third proportional to 21,556 and 46,648 is: 100,948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,556 : 46,648 = 46,648 : x
  2. Step 2: Convert to fraction form
    21,556/46,648 = 46,648/x
  3. Step 3: Cross multiply
    21,556x = 46,648 × 46,648
  4. Step 4: Simplify right side
    21,556x = 2,176,035,904
  5. Step 5: Solve for x
    x = 2,176,035,904/21,556
  6. Step 6: Final answer
    x = 100,948.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.