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Finding the Third Proportional to 34,410 and 46,425

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Solution

The third proportional to 34,410 and 46,425 is: 62,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,410 : 46,425 = 46,425 : x
  2. Step 2: Convert to fraction form
    34,410/46,425 = 46,425/x
  3. Step 3: Cross multiply
    34,410x = 46,425 × 46,425
  4. Step 4: Simplify right side
    34,410x = 2,155,280,625
  5. Step 5: Solve for x
    x = 2,155,280,625/34,410
  6. Step 6: Final answer
    x = 62,635.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.