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Finding the Third Proportional to 27,417 and 58,723

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Solution

The third proportional to 27,417 and 58,723 is: 125,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417 : 58,723 = 58,723 : x
  2. Step 2: Convert to fraction form
    27,417/58,723 = 58,723/x
  3. Step 3: Cross multiply
    27,417x = 58,723 × 58,723
  4. Step 4: Simplify right side
    27,417x = 3,448,390,729
  5. Step 5: Solve for x
    x = 3,448,390,729/27,417
  6. Step 6: Final answer
    x = 125,775.64

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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.