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Finding the Third Proportional to 35,415 and 76,283

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Solution

The third proportional to 35,415 and 76,283 is: 164,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,415 : 76,283 = 76,283 : x
  2. Step 2: Convert to fraction form
    35,415/76,283 = 76,283/x
  3. Step 3: Cross multiply
    35,415x = 76,283 × 76,283
  4. Step 4: Simplify right side
    35,415x = 5,819,096,089
  5. Step 5: Solve for x
    x = 5,819,096,089/35,415
  6. Step 6: Final answer
    x = 164,311.62

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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.