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Finding the Third Proportional to 31,995 and 46,849.50

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Solution

The third proportional to 31,995 and 46,849.50 is: 68,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,995 : 46,849.50 = 46,849.50 : x
  2. Step 2: Convert to fraction form
    31,995/46,849.50 = 46,849.50/x
  3. Step 3: Cross multiply
    31,995x = 46,849.50 × 46,849.50
  4. Step 4: Simplify right side
    31,995x = 2,194,875,650.25
  5. Step 5: Solve for x
    x = 2,194,875,650.25/31,995
  6. Step 6: Final answer
    x = 68,600.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.