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Finding the Third Proportional to 4,133.46 and 6,237.46

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Solution

The third proportional to 4,133.46 and 6,237.46 is: 9,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.46 : 6,237.46 = 6,237.46 : x
  2. Step 2: Convert to fraction form
    4,133.46/6,237.46 = 6,237.46/x
  3. Step 3: Cross multiply
    4,133.46x = 6,237.46 × 6,237.46
  4. Step 4: Simplify right side
    4,133.46x = 38,905,870.22
  5. Step 5: Solve for x
    x = 38,905,870.22/4,133.46
  6. Step 6: Final answer
    x = 9,412.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.