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Finding the Third Proportional to 35,928 and 79,195.50

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Solution

The third proportional to 35,928 and 79,195.50 is: 174,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,928 : 79,195.50 = 79,195.50 : x
  2. Step 2: Convert to fraction form
    35,928/79,195.50 = 79,195.50/x
  3. Step 3: Cross multiply
    35,928x = 79,195.50 × 79,195.50
  4. Step 4: Simplify right side
    35,928x = 6,271,927,220.25
  5. Step 5: Solve for x
    x = 6,271,927,220.25/35,928
  6. Step 6: Final answer
    x = 174,569.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.