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Finding the Third Proportional to 14,258 and 34,551

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Solution

The third proportional to 14,258 and 34,551 is: 83,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258 : 34,551 = 34,551 : x
  2. Step 2: Convert to fraction form
    14,258/34,551 = 34,551/x
  3. Step 3: Cross multiply
    14,258x = 34,551 × 34,551
  4. Step 4: Simplify right side
    14,258x = 1,193,771,601
  5. Step 5: Solve for x
    x = 1,193,771,601/14,258
  6. Step 6: Final answer
    x = 83,726.44

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.