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Finding the Third Proportional to 27,848 and 57,541

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Solution

The third proportional to 27,848 and 57,541 is: 118,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,848 : 57,541 = 57,541 : x
  2. Step 2: Convert to fraction form
    27,848/57,541 = 57,541/x
  3. Step 3: Cross multiply
    27,848x = 57,541 × 57,541
  4. Step 4: Simplify right side
    27,848x = 3,310,966,681
  5. Step 5: Solve for x
    x = 3,310,966,681/27,848
  6. Step 6: Final answer
    x = 118,894.24

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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.