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Finding the Third Proportional to 23,307 and 35,653

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Solution

The third proportional to 23,307 and 35,653 is: 54,538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,307 : 35,653 = 35,653 : x
  2. Step 2: Convert to fraction form
    23,307/35,653 = 35,653/x
  3. Step 3: Cross multiply
    23,307x = 35,653 × 35,653
  4. Step 4: Simplify right side
    23,307x = 1,271,136,409
  5. Step 5: Solve for x
    x = 1,271,136,409/23,307
  6. Step 6: Final answer
    x = 54,538.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.