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Finding the Third Proportional to 27,534 and 60,345

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Solution

The third proportional to 27,534 and 60,345 is: 132,255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534 : 60,345 = 60,345 : x
  2. Step 2: Convert to fraction form
    27,534/60,345 = 60,345/x
  3. Step 3: Cross multiply
    27,534x = 60,345 × 60,345
  4. Step 4: Simplify right side
    27,534x = 3,641,519,025
  5. Step 5: Solve for x
    x = 3,641,519,025/27,534
  6. Step 6: Final answer
    x = 132,255.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.