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Finding the Third Proportional to 34,030 and 51,082

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Solution

The third proportional to 34,030 and 51,082 is: 76,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,030 : 51,082 = 51,082 : x
  2. Step 2: Convert to fraction form
    34,030/51,082 = 51,082/x
  3. Step 3: Cross multiply
    34,030x = 51,082 × 51,082
  4. Step 4: Simplify right side
    34,030x = 2,609,370,724
  5. Step 5: Solve for x
    x = 2,609,370,724/34,030
  6. Step 6: Final answer
    x = 76,678.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.