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Finding the Third Proportional to 27,513 and 59,859

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Solution

The third proportional to 27,513 and 59,859 is: 130,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513 : 59,859 = 59,859 : x
  2. Step 2: Convert to fraction form
    27,513/59,859 = 59,859/x
  3. Step 3: Cross multiply
    27,513x = 59,859 × 59,859
  4. Step 4: Simplify right side
    27,513x = 3,583,099,881
  5. Step 5: Solve for x
    x = 3,583,099,881/27,513
  6. Step 6: Final answer
    x = 130,232.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.