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Finding the Third Proportional to 28,397 and 42,992

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Solution

The third proportional to 28,397 and 42,992 is: 65,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,397 : 42,992 = 42,992 : x
  2. Step 2: Convert to fraction form
    28,397/42,992 = 42,992/x
  3. Step 3: Cross multiply
    28,397x = 42,992 × 42,992
  4. Step 4: Simplify right side
    28,397x = 1,848,312,064
  5. Step 5: Solve for x
    x = 1,848,312,064/28,397
  6. Step 6: Final answer
    x = 65,088.29

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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.