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Finding the Third Proportional to 28,389 and 42,981

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Solution

The third proportional to 28,389 and 42,981 is: 65,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,389 : 42,981 = 42,981 : x
  2. Step 2: Convert to fraction form
    28,389/42,981 = 42,981/x
  3. Step 3: Cross multiply
    28,389x = 42,981 × 42,981
  4. Step 4: Simplify right side
    28,389x = 1,847,366,361
  5. Step 5: Solve for x
    x = 1,847,366,361/28,389
  6. Step 6: Final answer
    x = 65,073.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.