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Finding the Third Proportional to 4,572 and 6,683.63

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Solution

The third proportional to 4,572 and 6,683.63 is: 9,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572 : 6,683.63 = 6,683.63 : x
  2. Step 2: Convert to fraction form
    4,572/6,683.63 = 6,683.63/x
  3. Step 3: Cross multiply
    4,572x = 6,683.63 × 6,683.63
  4. Step 4: Simplify right side
    4,572x = 44,670,843.14
  5. Step 5: Solve for x
    x = 44,670,843.14/4,572
  6. Step 6: Final answer
    x = 9,770.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.