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Finding the Third Proportional to 34,011 and 73,486.50

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Solution

The third proportional to 34,011 and 73,486.50 is: 158,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,011 : 73,486.50 = 73,486.50 : x
  2. Step 2: Convert to fraction form
    34,011/73,486.50 = 73,486.50/x
  3. Step 3: Cross multiply
    34,011x = 73,486.50 × 73,486.50
  4. Step 4: Simplify right side
    34,011x = 5,400,265,682.25
  5. Step 5: Solve for x
    x = 5,400,265,682.25/34,011
  6. Step 6: Final answer
    x = 158,779.97

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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.