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Finding the Third Proportional to 31,392 and 46,544

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Solution

The third proportional to 31,392 and 46,544 is: 69,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,392 : 46,544 = 46,544 : x
  2. Step 2: Convert to fraction form
    31,392/46,544 = 46,544/x
  3. Step 3: Cross multiply
    31,392x = 46,544 × 46,544
  4. Step 4: Simplify right side
    31,392x = 2,166,343,936
  5. Step 5: Solve for x
    x = 2,166,343,936/31,392
  6. Step 6: Final answer
    x = 69,009.43

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.