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Finding the Third Proportional to 27,548 and 59,380

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Solution

The third proportional to 27,548 and 59,380 is: 127,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,548 : 59,380 = 59,380 : x
  2. Step 2: Convert to fraction form
    27,548/59,380 = 59,380/x
  3. Step 3: Cross multiply
    27,548x = 59,380 × 59,380
  4. Step 4: Simplify right side
    27,548x = 3,525,984,400
  5. Step 5: Solve for x
    x = 3,525,984,400/27,548
  6. Step 6: Final answer
    x = 127,994.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.