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Finding the Third Proportional to 23,412 and 35,082

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Solution

The third proportional to 23,412 and 35,082 is: 52,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412 : 35,082 = 35,082 : x
  2. Step 2: Convert to fraction form
    23,412/35,082 = 35,082/x
  3. Step 3: Cross multiply
    23,412x = 35,082 × 35,082
  4. Step 4: Simplify right side
    23,412x = 1,230,746,724
  5. Step 5: Solve for x
    x = 1,230,746,724/23,412
  6. Step 6: Final answer
    x = 52,569.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.