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Finding the Third Proportional to 3,013.88 and 4,429.69

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Solution

The third proportional to 3,013.88 and 4,429.69 is: 6,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.88 : 4,429.69 = 4,429.69 : x
  2. Step 2: Convert to fraction form
    3,013.88/4,429.69 = 4,429.69/x
  3. Step 3: Cross multiply
    3,013.88x = 4,429.69 × 4,429.69
  4. Step 4: Simplify right side
    3,013.88x = 19,622,131.35
  5. Step 5: Solve for x
    x = 19,622,131.35/3,013.88
  6. Step 6: Final answer
    x = 6,510.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.