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Finding the Third Proportional to 31,288 and 69,488

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Solution

The third proportional to 31,288 and 69,488 is: 154,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288 : 69,488 = 69,488 : x
  2. Step 2: Convert to fraction form
    31,288/69,488 = 69,488/x
  3. Step 3: Cross multiply
    31,288x = 69,488 × 69,488
  4. Step 4: Simplify right side
    31,288x = 4,828,582,144
  5. Step 5: Solve for x
    x = 4,828,582,144/31,288
  6. Step 6: Final answer
    x = 154,326.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.