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Finding the Third Proportional to 10,017.75 and 21,641.25

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Solution

The third proportional to 10,017.75 and 21,641.25 is: 46,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.75 : 21,641.25 = 21,641.25 : x
  2. Step 2: Convert to fraction form
    10,017.75/21,641.25 = 21,641.25/x
  3. Step 3: Cross multiply
    10,017.75x = 21,641.25 × 21,641.25
  4. Step 4: Simplify right side
    10,017.75x = 468,343,701.56
  5. Step 5: Solve for x
    x = 468,343,701.56/10,017.75
  6. Step 6: Final answer
    x = 46,751.39

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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.