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Finding the Third Proportional to 36,042.50 and 78,545

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Solution

The third proportional to 36,042.50 and 78,545 is: 171,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,042.50 : 78,545 = 78,545 : x
  2. Step 2: Convert to fraction form
    36,042.50/78,545 = 78,545/x
  3. Step 3: Cross multiply
    36,042.50x = 78,545 × 78,545
  4. Step 4: Simplify right side
    36,042.50x = 6,169,317,025
  5. Step 5: Solve for x
    x = 6,169,317,025/36,042.50
  6. Step 6: Final answer
    x = 171,167.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.