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Finding the Third Proportional to 28,977.75 and 35,197.03

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Solution

The third proportional to 28,977.75 and 35,197.03 is: 42,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,977.75 : 35,197.03 = 35,197.03 : x
  2. Step 2: Convert to fraction form
    28,977.75/35,197.03 = 35,197.03/x
  3. Step 3: Cross multiply
    28,977.75x = 35,197.03 × 35,197.03
  4. Step 4: Simplify right side
    28,977.75x = 1,238,831,008.81
  5. Step 5: Solve for x
    x = 1,238,831,008.81/28,977.75
  6. Step 6: Final answer
    x = 42,751.11

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.