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Finding the Third Proportional to 27,472 and 31,360

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Solution

The third proportional to 27,472 and 31,360 is: 35,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472 : 31,360 = 31,360 : x
  2. Step 2: Convert to fraction form
    27,472/31,360 = 31,360/x
  3. Step 3: Cross multiply
    27,472x = 31,360 × 31,360
  4. Step 4: Simplify right side
    27,472x = 983,449,600
  5. Step 5: Solve for x
    x = 983,449,600/27,472
  6. Step 6: Final answer
    x = 35,798.25

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.