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Finding the Third Proportional to 39,938 and 94,968

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Solution

The third proportional to 39,938 and 94,968 is: 225,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,938 : 94,968 = 94,968 : x
  2. Step 2: Convert to fraction form
    39,938/94,968 = 94,968/x
  3. Step 3: Cross multiply
    39,938x = 94,968 × 94,968
  4. Step 4: Simplify right side
    39,938x = 9,018,921,024
  5. Step 5: Solve for x
    x = 9,018,921,024/39,938
  6. Step 6: Final answer
    x = 225,823.05

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.