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Finding the Third Proportional to 35,772 and 78,592

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Solution

The third proportional to 35,772 and 78,592 is: 172,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,772 : 78,592 = 78,592 : x
  2. Step 2: Convert to fraction form
    35,772/78,592 = 78,592/x
  3. Step 3: Cross multiply
    35,772x = 78,592 × 78,592
  4. Step 4: Simplify right side
    35,772x = 6,176,702,464
  5. Step 5: Solve for x
    x = 6,176,702,464/35,772
  6. Step 6: Final answer
    x = 172,668.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.