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Finding the Third Proportional to 3,334 and 4,977.50

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Solution

The third proportional to 3,334 and 4,977.50 is: 7,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334 : 4,977.50 = 4,977.50 : x
  2. Step 2: Convert to fraction form
    3,334/4,977.50 = 4,977.50/x
  3. Step 3: Cross multiply
    3,334x = 4,977.50 × 4,977.50
  4. Step 4: Simplify right side
    3,334x = 24,775,506.25
  5. Step 5: Solve for x
    x = 24,775,506.25/3,334
  6. Step 6: Final answer
    x = 7,431.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.