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Finding the Third Proportional to 31,082 and 46,881

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Solution

The third proportional to 31,082 and 46,881 is: 70,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082 : 46,881 = 46,881 : x
  2. Step 2: Convert to fraction form
    31,082/46,881 = 46,881/x
  3. Step 3: Cross multiply
    31,082x = 46,881 × 46,881
  4. Step 4: Simplify right side
    31,082x = 2,197,828,161
  5. Step 5: Solve for x
    x = 2,197,828,161/31,082
  6. Step 6: Final answer
    x = 70,710.64

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Why These Related Problems?

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