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Finding the Third Proportional to 34,625 and 46,209

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Solution

The third proportional to 34,625 and 46,209 is: 61,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,625 : 46,209 = 46,209 : x
  2. Step 2: Convert to fraction form
    34,625/46,209 = 46,209/x
  3. Step 3: Cross multiply
    34,625x = 46,209 × 46,209
  4. Step 4: Simplify right side
    34,625x = 2,135,271,681
  5. Step 5: Solve for x
    x = 2,135,271,681/34,625
  6. Step 6: Final answer
    x = 61,668.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.