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Finding the Third Proportional to 27,880 and 59,594

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Solution

The third proportional to 27,880 and 59,594 is: 127,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,880 : 59,594 = 59,594 : x
  2. Step 2: Convert to fraction form
    27,880/59,594 = 59,594/x
  3. Step 3: Cross multiply
    27,880x = 59,594 × 59,594
  4. Step 4: Simplify right side
    27,880x = 3,551,444,836
  5. Step 5: Solve for x
    x = 3,551,444,836/27,880
  6. Step 6: Final answer
    x = 127,383.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.