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Finding the Third Proportional to 35,028 and 76,869

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Solution

The third proportional to 35,028 and 76,869 is: 168,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,028 : 76,869 = 76,869 : x
  2. Step 2: Convert to fraction form
    35,028/76,869 = 76,869/x
  3. Step 3: Cross multiply
    35,028x = 76,869 × 76,869
  4. Step 4: Simplify right side
    35,028x = 5,908,843,161
  5. Step 5: Solve for x
    x = 5,908,843,161/35,028
  6. Step 6: Final answer
    x = 168,689.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.