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Finding the Third Proportional to 27,260 and 58,406

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Solution

The third proportional to 27,260 and 58,406 is: 125,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,260 : 58,406 = 58,406 : x
  2. Step 2: Convert to fraction form
    27,260/58,406 = 58,406/x
  3. Step 3: Cross multiply
    27,260x = 58,406 × 58,406
  4. Step 4: Simplify right side
    27,260x = 3,411,260,836
  5. Step 5: Solve for x
    x = 3,411,260,836/27,260
  6. Step 6: Final answer
    x = 125,137.96

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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.