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Finding the Third Proportional to 17,706 and 24,030

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Solution

The third proportional to 17,706 and 24,030 is: 32,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706 : 24,030 = 24,030 : x
  2. Step 2: Convert to fraction form
    17,706/24,030 = 24,030/x
  3. Step 3: Cross multiply
    17,706x = 24,030 × 24,030
  4. Step 4: Simplify right side
    17,706x = 577,440,900
  5. Step 5: Solve for x
    x = 577,440,900/17,706
  6. Step 6: Final answer
    x = 32,612.72

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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.