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Finding the Third Proportional to 31,482 and 46,818

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Solution

The third proportional to 31,482 and 46,818 is: 69,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482 : 46,818 = 46,818 : x
  2. Step 2: Convert to fraction form
    31,482/46,818 = 46,818/x
  3. Step 3: Cross multiply
    31,482x = 46,818 × 46,818
  4. Step 4: Simplify right side
    31,482x = 2,191,925,124
  5. Step 5: Solve for x
    x = 2,191,925,124/31,482
  6. Step 6: Final answer
    x = 69,624.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.