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Finding the Third Proportional to 15,783 and 34,026

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Solution

The third proportional to 15,783 and 34,026 is: 73,355.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783 : 34,026 = 34,026 : x
  2. Step 2: Convert to fraction form
    15,783/34,026 = 34,026/x
  3. Step 3: Cross multiply
    15,783x = 34,026 × 34,026
  4. Step 4: Simplify right side
    15,783x = 1,157,768,676
  5. Step 5: Solve for x
    x = 1,157,768,676/15,783
  6. Step 6: Final answer
    x = 73,355.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.