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Finding the Third Proportional to 20,440 and 42,938

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Solution

The third proportional to 20,440 and 42,938 is: 90,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,440 : 42,938 = 42,938 : x
  2. Step 2: Convert to fraction form
    20,440/42,938 = 42,938/x
  3. Step 3: Cross multiply
    20,440x = 42,938 × 42,938
  4. Step 4: Simplify right side
    20,440x = 1,843,671,844
  5. Step 5: Solve for x
    x = 1,843,671,844/20,440
  6. Step 6: Final answer
    x = 90,199.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.