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Finding the Third Proportional to 27,354 and 42,855

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Solution

The third proportional to 27,354 and 42,855 is: 67,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,354 : 42,855 = 42,855 : x
  2. Step 2: Convert to fraction form
    27,354/42,855 = 42,855/x
  3. Step 3: Cross multiply
    27,354x = 42,855 × 42,855
  4. Step 4: Simplify right side
    27,354x = 1,836,551,025
  5. Step 5: Solve for x
    x = 1,836,551,025/27,354
  6. Step 6: Final answer
    x = 67,140.13

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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.