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Finding the Third Proportional to 35,772 and 77,592

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Solution

The third proportional to 35,772 and 77,592 is: 168,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,772 : 77,592 = 77,592 : x
  2. Step 2: Convert to fraction form
    35,772/77,592 = 77,592/x
  3. Step 3: Cross multiply
    35,772x = 77,592 × 77,592
  4. Step 4: Simplify right side
    35,772x = 6,020,518,464
  5. Step 5: Solve for x
    x = 6,020,518,464/35,772
  6. Step 6: Final answer
    x = 168,302.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.