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Finding the Third Proportional to 27,352 and 42,852

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Solution

The third proportional to 27,352 and 42,852 is: 67,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,352 : 42,852 = 42,852 : x
  2. Step 2: Convert to fraction form
    27,352/42,852 = 42,852/x
  3. Step 3: Cross multiply
    27,352x = 42,852 × 42,852
  4. Step 4: Simplify right side
    27,352x = 1,836,293,904
  5. Step 5: Solve for x
    x = 1,836,293,904/27,352
  6. Step 6: Final answer
    x = 67,135.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.