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Finding the Third Proportional to 27,701 and 60,476

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Solution

The third proportional to 27,701 and 60,476 is: 132,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,701 : 60,476 = 60,476 : x
  2. Step 2: Convert to fraction form
    27,701/60,476 = 60,476/x
  3. Step 3: Cross multiply
    27,701x = 60,476 × 60,476
  4. Step 4: Simplify right side
    27,701x = 3,657,346,576
  5. Step 5: Solve for x
    x = 3,657,346,576/27,701
  6. Step 6: Final answer
    x = 132,029.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.