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Finding the Third Proportional to 27,353 and 58,594

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Solution

The third proportional to 27,353 and 58,594 is: 125,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,353 : 58,594 = 58,594 : x
  2. Step 2: Convert to fraction form
    27,353/58,594 = 58,594/x
  3. Step 3: Cross multiply
    27,353x = 58,594 × 58,594
  4. Step 4: Simplify right side
    27,353x = 3,433,256,836
  5. Step 5: Solve for x
    x = 3,433,256,836/27,353
  6. Step 6: Final answer
    x = 125,516.65

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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.