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Finding the Third Proportional to 35,100 and 52,683.75

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Solution

The third proportional to 35,100 and 52,683.75 is: 79,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,100 : 52,683.75 = 52,683.75 : x
  2. Step 2: Convert to fraction form
    35,100/52,683.75 = 52,683.75/x
  3. Step 3: Cross multiply
    35,100x = 52,683.75 × 52,683.75
  4. Step 4: Simplify right side
    35,100x = 2,775,577,514.06
  5. Step 5: Solve for x
    x = 2,775,577,514.06/35,100
  6. Step 6: Final answer
    x = 79,076.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.