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Finding the Third Proportional to 6,050 and 6,475

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Solution

The third proportional to 6,050 and 6,475 is: 6,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,050 : 6,475 = 6,475 : x
  2. Step 2: Convert to fraction form
    6,050/6,475 = 6,475/x
  3. Step 3: Cross multiply
    6,050x = 6,475 × 6,475
  4. Step 4: Simplify right side
    6,050x = 41,925,625
  5. Step 5: Solve for x
    x = 41,925,625/6,050
  6. Step 6: Final answer
    x = 6,929.86

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.