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Finding the Third Proportional to 17,725 and 27,560

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Solution

The third proportional to 17,725 and 27,560 is: 42,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725 : 27,560 = 27,560 : x
  2. Step 2: Convert to fraction form
    17,725/27,560 = 27,560/x
  3. Step 3: Cross multiply
    17,725x = 27,560 × 27,560
  4. Step 4: Simplify right side
    17,725x = 759,553,600
  5. Step 5: Solve for x
    x = 759,553,600/17,725
  6. Step 6: Final answer
    x = 42,852.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.