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Finding the Third Proportional to 35,237 and 76,015

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Solution

The third proportional to 35,237 and 76,015 is: 163,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,237 : 76,015 = 76,015 : x
  2. Step 2: Convert to fraction form
    35,237/76,015 = 76,015/x
  3. Step 3: Cross multiply
    35,237x = 76,015 × 76,015
  4. Step 4: Simplify right side
    35,237x = 5,778,280,225
  5. Step 5: Solve for x
    x = 5,778,280,225/35,237
  6. Step 6: Final answer
    x = 163,983.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.