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Finding the Third Proportional to 19,968 and 30,316.50

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Solution

The third proportional to 19,968 and 30,316.50 is: 46,028.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,968 : 30,316.50 = 30,316.50 : x
  2. Step 2: Convert to fraction form
    19,968/30,316.50 = 30,316.50/x
  3. Step 3: Cross multiply
    19,968x = 30,316.50 × 30,316.50
  4. Step 4: Simplify right side
    19,968x = 919,090,172.25
  5. Step 5: Solve for x
    x = 919,090,172.25/19,968
  6. Step 6: Final answer
    x = 46,028.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.