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Finding the Third Proportional to 6,264 and 6,898.50

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Solution

The third proportional to 6,264 and 6,898.50 is: 7,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264 : 6,898.50 = 6,898.50 : x
  2. Step 2: Convert to fraction form
    6,264/6,898.50 = 6,898.50/x
  3. Step 3: Cross multiply
    6,264x = 6,898.50 × 6,898.50
  4. Step 4: Simplify right side
    6,264x = 47,589,302.25
  5. Step 5: Solve for x
    x = 47,589,302.25/6,264
  6. Step 6: Final answer
    x = 7,597.27

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.