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Finding the Third Proportional to 21,033.75 and 46,016.25

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Solution

The third proportional to 21,033.75 and 46,016.25 is: 100,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033.75 : 46,016.25 = 46,016.25 : x
  2. Step 2: Convert to fraction form
    21,033.75/46,016.25 = 46,016.25/x
  3. Step 3: Cross multiply
    21,033.75x = 46,016.25 × 46,016.25
  4. Step 4: Simplify right side
    21,033.75x = 2,117,495,264.06
  5. Step 5: Solve for x
    x = 2,117,495,264.06/21,033.75
  6. Step 6: Final answer
    x = 100,671.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.