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Finding the Third Proportional to 36,005.50 and 84,117

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Solution

The third proportional to 36,005.50 and 84,117 is: 196,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,005.50 : 84,117 = 84,117 : x
  2. Step 2: Convert to fraction form
    36,005.50/84,117 = 84,117/x
  3. Step 3: Cross multiply
    36,005.50x = 84,117 × 84,117
  4. Step 4: Simplify right side
    36,005.50x = 7,075,669,689
  5. Step 5: Solve for x
    x = 7,075,669,689/36,005.50
  6. Step 6: Final answer
    x = 196,516.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.