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Finding the Third Proportional to 35,748 and 76,977

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Solution

The third proportional to 35,748 and 76,977 is: 165,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,748 : 76,977 = 76,977 : x
  2. Step 2: Convert to fraction form
    35,748/76,977 = 76,977/x
  3. Step 3: Cross multiply
    35,748x = 76,977 × 76,977
  4. Step 4: Simplify right side
    35,748x = 5,925,458,529
  5. Step 5: Solve for x
    x = 5,925,458,529/35,748
  6. Step 6: Final answer
    x = 165,756.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.