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Finding the Third Proportional to 31,440 and 68,410

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Solution

The third proportional to 31,440 and 68,410 is: 148,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,440 : 68,410 = 68,410 : x
  2. Step 2: Convert to fraction form
    31,440/68,410 = 68,410/x
  3. Step 3: Cross multiply
    31,440x = 68,410 × 68,410
  4. Step 4: Simplify right side
    31,440x = 4,679,928,100
  5. Step 5: Solve for x
    x = 4,679,928,100/31,440
  6. Step 6: Final answer
    x = 148,852.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.