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Finding the Third Proportional to 23,796 and 35,658

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Solution

The third proportional to 23,796 and 35,658 is: 53,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796 : 35,658 = 35,658 : x
  2. Step 2: Convert to fraction form
    23,796/35,658 = 35,658/x
  3. Step 3: Cross multiply
    23,796x = 35,658 × 35,658
  4. Step 4: Simplify right side
    23,796x = 1,271,492,964
  5. Step 5: Solve for x
    x = 1,271,492,964/23,796
  6. Step 6: Final answer
    x = 53,433.05

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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.