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Finding the Third Proportional to 21,653.25 and 46,040.25

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Solution

The third proportional to 21,653.25 and 46,040.25 is: 97,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653.25 : 46,040.25 = 46,040.25 : x
  2. Step 2: Convert to fraction form
    21,653.25/46,040.25 = 46,040.25/x
  3. Step 3: Cross multiply
    21,653.25x = 46,040.25 × 46,040.25
  4. Step 4: Simplify right side
    21,653.25x = 2,119,704,620.06
  5. Step 5: Solve for x
    x = 2,119,704,620.06/21,653.25
  6. Step 6: Final answer
    x = 97,893.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.