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Finding the Third Proportional to 27,761 and 59,953

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Solution

The third proportional to 27,761 and 59,953 is: 129,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761 : 59,953 = 59,953 : x
  2. Step 2: Convert to fraction form
    27,761/59,953 = 59,953/x
  3. Step 3: Cross multiply
    27,761x = 59,953 × 59,953
  4. Step 4: Simplify right side
    27,761x = 3,594,362,209
  5. Step 5: Solve for x
    x = 3,594,362,209/27,761
  6. Step 6: Final answer
    x = 129,475.24

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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.