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Finding the Third Proportional to 46,818 and 70,731

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Solution

The third proportional to 46,818 and 70,731 is: 106,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,818 : 70,731 = 70,731 : x
  2. Step 2: Convert to fraction form
    46,818/70,731 = 70,731/x
  3. Step 3: Cross multiply
    46,818x = 70,731 × 70,731
  4. Step 4: Simplify right side
    46,818x = 5,002,874,361
  5. Step 5: Solve for x
    x = 5,002,874,361/46,818
  6. Step 6: Final answer
    x = 106,857.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.