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Finding the Third Proportional to 14,070 and 21,957

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Solution

The third proportional to 14,070 and 21,957 is: 34,265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070 : 21,957 = 21,957 : x
  2. Step 2: Convert to fraction form
    14,070/21,957 = 21,957/x
  3. Step 3: Cross multiply
    14,070x = 21,957 × 21,957
  4. Step 4: Simplify right side
    14,070x = 482,109,849
  5. Step 5: Solve for x
    x = 482,109,849/14,070
  6. Step 6: Final answer
    x = 34,265.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.