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Finding the Third Proportional to 27,459 and 56,862

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Solution

The third proportional to 27,459 and 56,862 is: 117,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459 : 56,862 = 56,862 : x
  2. Step 2: Convert to fraction form
    27,459/56,862 = 56,862/x
  3. Step 3: Cross multiply
    27,459x = 56,862 × 56,862
  4. Step 4: Simplify right side
    27,459x = 3,233,287,044
  5. Step 5: Solve for x
    x = 3,233,287,044/27,459
  6. Step 6: Final answer
    x = 117,749.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.