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Finding the Third Proportional to 13,609 and 21,030

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Solution

The third proportional to 13,609 and 21,030 is: 32,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609 : 21,030 = 21,030 : x
  2. Step 2: Convert to fraction form
    13,609/21,030 = 21,030/x
  3. Step 3: Cross multiply
    13,609x = 21,030 × 21,030
  4. Step 4: Simplify right side
    13,609x = 442,260,900
  5. Step 5: Solve for x
    x = 442,260,900/13,609
  6. Step 6: Final answer
    x = 32,497.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.