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Finding the Third Proportional to 36,830.50 and 78,043

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Solution

The third proportional to 36,830.50 and 78,043 is: 165,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,830.50 : 78,043 = 78,043 : x
  2. Step 2: Convert to fraction form
    36,830.50/78,043 = 78,043/x
  3. Step 3: Cross multiply
    36,830.50x = 78,043 × 78,043
  4. Step 4: Simplify right side
    36,830.50x = 6,090,709,849
  5. Step 5: Solve for x
    x = 6,090,709,849/36,830.50
  6. Step 6: Final answer
    x = 165,371.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.