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Finding the Third Proportional to 30,408.75 and 46,895.63

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Solution

The third proportional to 30,408.75 and 46,895.63 is: 72,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,408.75 : 46,895.63 = 46,895.63 : x
  2. Step 2: Convert to fraction form
    30,408.75/46,895.63 = 46,895.63/x
  3. Step 3: Cross multiply
    30,408.75x = 46,895.63 × 46,895.63
  4. Step 4: Simplify right side
    30,408.75x = 2,199,199,644.14
  5. Step 5: Solve for x
    x = 2,199,199,644.14/30,408.75
  6. Step 6: Final answer
    x = 72,321.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.