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Finding the Third Proportional to 6,030 and 7,813

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Solution

The third proportional to 6,030 and 7,813 is: 10,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,030 : 7,813 = 7,813 : x
  2. Step 2: Convert to fraction form
    6,030/7,813 = 7,813/x
  3. Step 3: Cross multiply
    6,030x = 7,813 × 7,813
  4. Step 4: Simplify right side
    6,030x = 61,042,969
  5. Step 5: Solve for x
    x = 61,042,969/6,030
  6. Step 6: Final answer
    x = 10,123.21

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.