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Finding the Third Proportional to 34,567 and 74,030

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Solution

The third proportional to 34,567 and 74,030 is: 158,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,567 : 74,030 = 74,030 : x
  2. Step 2: Convert to fraction form
    34,567/74,030 = 74,030/x
  3. Step 3: Cross multiply
    34,567x = 74,030 × 74,030
  4. Step 4: Simplify right side
    34,567x = 5,480,440,900
  5. Step 5: Solve for x
    x = 5,480,440,900/34,567
  6. Step 6: Final answer
    x = 158,545.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.