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Finding the Third Proportional to 35,752 and 76,985

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Solution

The third proportional to 35,752 and 76,985 is: 165,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,752 : 76,985 = 76,985 : x
  2. Step 2: Convert to fraction form
    35,752/76,985 = 76,985/x
  3. Step 3: Cross multiply
    35,752x = 76,985 × 76,985
  4. Step 4: Simplify right side
    35,752x = 5,926,690,225
  5. Step 5: Solve for x
    x = 5,926,690,225/35,752
  6. Step 6: Final answer
    x = 165,772.27

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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.