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Finding the Third Proportional to 28,442 and 43,035

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Solution

The third proportional to 28,442 and 43,035 is: 65,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,442 : 43,035 = 43,035 : x
  2. Step 2: Convert to fraction form
    28,442/43,035 = 43,035/x
  3. Step 3: Cross multiply
    28,442x = 43,035 × 43,035
  4. Step 4: Simplify right side
    28,442x = 1,852,011,225
  5. Step 5: Solve for x
    x = 1,852,011,225/28,442
  6. Step 6: Final answer
    x = 65,115.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.