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Finding the Third Proportional to 14,908 and 34,294

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Solution

The third proportional to 14,908 and 34,294 is: 78,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,908 : 34,294 = 34,294 : x
  2. Step 2: Convert to fraction form
    14,908/34,294 = 34,294/x
  3. Step 3: Cross multiply
    14,908x = 34,294 × 34,294
  4. Step 4: Simplify right side
    14,908x = 1,176,078,436
  5. Step 5: Solve for x
    x = 1,176,078,436/14,908
  6. Step 6: Final answer
    x = 78,889.08

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.