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Finding the Third Proportional to 21,673 and 46,708

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Solution

The third proportional to 21,673 and 46,708 is: 100,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673 : 46,708 = 46,708 : x
  2. Step 2: Convert to fraction form
    21,673/46,708 = 46,708/x
  3. Step 3: Cross multiply
    21,673x = 46,708 × 46,708
  4. Step 4: Simplify right side
    21,673x = 2,181,637,264
  5. Step 5: Solve for x
    x = 2,181,637,264/21,673
  6. Step 6: Final answer
    x = 100,661.53

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