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Finding the Third Proportional to 28,802 and 45,795

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Solution

The third proportional to 28,802 and 45,795 is: 72,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,802 : 45,795 = 45,795 : x
  2. Step 2: Convert to fraction form
    28,802/45,795 = 45,795/x
  3. Step 3: Cross multiply
    28,802x = 45,795 × 45,795
  4. Step 4: Simplify right side
    28,802x = 2,097,182,025
  5. Step 5: Solve for x
    x = 2,097,182,025/28,802
  6. Step 6: Final answer
    x = 72,813.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.