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Finding the Third Proportional to 14,574 and 31,228

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Solution

The third proportional to 14,574 and 31,228 is: 66,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574 : 31,228 = 31,228 : x
  2. Step 2: Convert to fraction form
    14,574/31,228 = 31,228/x
  3. Step 3: Cross multiply
    14,574x = 31,228 × 31,228
  4. Step 4: Simplify right side
    14,574x = 975,187,984
  5. Step 5: Solve for x
    x = 975,187,984/14,574
  6. Step 6: Final answer
    x = 66,912.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.