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Finding the Third Proportional to 28,083.75 and 36,009.75

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Solution

The third proportional to 28,083.75 and 36,009.75 is: 46,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,083.75 : 36,009.75 = 36,009.75 : x
  2. Step 2: Convert to fraction form
    28,083.75/36,009.75 = 36,009.75/x
  3. Step 3: Cross multiply
    28,083.75x = 36,009.75 × 36,009.75
  4. Step 4: Simplify right side
    28,083.75x = 1,296,702,095.06
  5. Step 5: Solve for x
    x = 1,296,702,095.06/28,083.75
  6. Step 6: Final answer
    x = 46,172.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.