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Finding the Third Proportional to 3,157 and 4,941.50

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Solution

The third proportional to 3,157 and 4,941.50 is: 7,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157 : 4,941.50 = 4,941.50 : x
  2. Step 2: Convert to fraction form
    3,157/4,941.50 = 4,941.50/x
  3. Step 3: Cross multiply
    3,157x = 4,941.50 × 4,941.50
  4. Step 4: Simplify right side
    3,157x = 24,418,422.25
  5. Step 5: Solve for x
    x = 24,418,422.25/3,157
  6. Step 6: Final answer
    x = 7,734.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.