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Finding the Third Proportional to 31,562 and 69,028

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Solution

The third proportional to 31,562 and 69,028 is: 150,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,562 : 69,028 = 69,028 : x
  2. Step 2: Convert to fraction form
    31,562/69,028 = 69,028/x
  3. Step 3: Cross multiply
    31,562x = 69,028 × 69,028
  4. Step 4: Simplify right side
    31,562x = 4,764,864,784
  5. Step 5: Solve for x
    x = 4,764,864,784/31,562
  6. Step 6: Final answer
    x = 150,968.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.