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Finding the Third Proportional to 27,266 and 58,417

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Solution

The third proportional to 27,266 and 58,417 is: 125,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,266 : 58,417 = 58,417 : x
  2. Step 2: Convert to fraction form
    27,266/58,417 = 58,417/x
  3. Step 3: Cross multiply
    27,266x = 58,417 × 58,417
  4. Step 4: Simplify right side
    27,266x = 3,412,545,889
  5. Step 5: Solve for x
    x = 3,412,545,889/27,266
  6. Step 6: Final answer
    x = 125,157.55

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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.