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Finding the Third Proportional to 19,496 and 42,878

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Solution

The third proportional to 19,496 and 42,878 is: 94,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496 : 42,878 = 42,878 : x
  2. Step 2: Convert to fraction form
    19,496/42,878 = 42,878/x
  3. Step 3: Cross multiply
    19,496x = 42,878 × 42,878
  4. Step 4: Simplify right side
    19,496x = 1,838,522,884
  5. Step 5: Solve for x
    x = 1,838,522,884/19,496
  6. Step 6: Final answer
    x = 94,302.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.