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Finding the Third Proportional to 28,356 and 46,690.50

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Solution

The third proportional to 28,356 and 46,690.50 is: 76,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,356 : 46,690.50 = 46,690.50 : x
  2. Step 2: Convert to fraction form
    28,356/46,690.50 = 46,690.50/x
  3. Step 3: Cross multiply
    28,356x = 46,690.50 × 46,690.50
  4. Step 4: Simplify right side
    28,356x = 2,180,002,790.25
  5. Step 5: Solve for x
    x = 2,180,002,790.25/28,356
  6. Step 6: Final answer
    x = 76,879.77

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.