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Finding the Third Proportional to 15,788 and 34,006

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Solution

The third proportional to 15,788 and 34,006 is: 73,246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788 : 34,006 = 34,006 : x
  2. Step 2: Convert to fraction form
    15,788/34,006 = 34,006/x
  3. Step 3: Cross multiply
    15,788x = 34,006 × 34,006
  4. Step 4: Simplify right side
    15,788x = 1,156,408,036
  5. Step 5: Solve for x
    x = 1,156,408,036/15,788
  6. Step 6: Final answer
    x = 73,246.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.