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Finding the Third Proportional to 27,046 and 57,914

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Solution

The third proportional to 27,046 and 57,914 is: 124,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,046 : 57,914 = 57,914 : x
  2. Step 2: Convert to fraction form
    27,046/57,914 = 57,914/x
  3. Step 3: Cross multiply
    27,046x = 57,914 × 57,914
  4. Step 4: Simplify right side
    27,046x = 3,354,031,396
  5. Step 5: Solve for x
    x = 3,354,031,396/27,046
  6. Step 6: Final answer
    x = 124,012.11

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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.