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Finding the Third Proportional to 21,177 and 46,011

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Solution

The third proportional to 21,177 and 46,011 is: 99,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177 : 46,011 = 46,011 : x
  2. Step 2: Convert to fraction form
    21,177/46,011 = 46,011/x
  3. Step 3: Cross multiply
    21,177x = 46,011 × 46,011
  4. Step 4: Simplify right side
    21,177x = 2,117,012,121
  5. Step 5: Solve for x
    x = 2,117,012,121/21,177
  6. Step 6: Final answer
    x = 99,967.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.