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Finding the Third Proportional to 31,425 and 44,809.50

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Solution

The third proportional to 31,425 and 44,809.50 is: 63,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,425 : 44,809.50 = 44,809.50 : x
  2. Step 2: Convert to fraction form
    31,425/44,809.50 = 44,809.50/x
  3. Step 3: Cross multiply
    31,425x = 44,809.50 × 44,809.50
  4. Step 4: Simplify right side
    31,425x = 2,007,891,290.25
  5. Step 5: Solve for x
    x = 2,007,891,290.25/31,425
  6. Step 6: Final answer
    x = 63,894.71

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.