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Finding the Third Proportional to 13,971 and 30,127

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Solution

The third proportional to 13,971 and 30,127 is: 64,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971 : 30,127 = 30,127 : x
  2. Step 2: Convert to fraction form
    13,971/30,127 = 30,127/x
  3. Step 3: Cross multiply
    13,971x = 30,127 × 30,127
  4. Step 4: Simplify right side
    13,971x = 907,636,129
  5. Step 5: Solve for x
    x = 907,636,129/13,971
  6. Step 6: Final answer
    x = 64,965.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.