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Finding the Third Proportional to 3,030 and 4,113

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Solution

The third proportional to 3,030 and 4,113 is: 5,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030 : 4,113 = 4,113 : x
  2. Step 2: Convert to fraction form
    3,030/4,113 = 4,113/x
  3. Step 3: Cross multiply
    3,030x = 4,113 × 4,113
  4. Step 4: Simplify right side
    3,030x = 16,916,769
  5. Step 5: Solve for x
    x = 16,916,769/3,030
  6. Step 6: Final answer
    x = 5,583.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.