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Finding the Third Proportional to 31,272 and 46,752

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Solution

The third proportional to 31,272 and 46,752 is: 69,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,272 : 46,752 = 46,752 : x
  2. Step 2: Convert to fraction form
    31,272/46,752 = 46,752/x
  3. Step 3: Cross multiply
    31,272x = 46,752 × 46,752
  4. Step 4: Simplify right side
    31,272x = 2,185,749,504
  5. Step 5: Solve for x
    x = 2,185,749,504/31,272
  6. Step 6: Final answer
    x = 69,894.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.