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Finding the Third Proportional to 21,710 and 46,768

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Solution

The third proportional to 21,710 and 46,768 is: 100,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710 : 46,768 = 46,768 : x
  2. Step 2: Convert to fraction form
    21,710/46,768 = 46,768/x
  3. Step 3: Cross multiply
    21,710x = 46,768 × 46,768
  4. Step 4: Simplify right side
    21,710x = 2,187,245,824
  5. Step 5: Solve for x
    x = 2,187,245,824/21,710
  6. Step 6: Final answer
    x = 100,748.31

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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.