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Finding the Third Proportional to 28,047 and 59,836

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Solution

The third proportional to 28,047 and 59,836 is: 127,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,047 : 59,836 = 59,836 : x
  2. Step 2: Convert to fraction form
    28,047/59,836 = 59,836/x
  3. Step 3: Cross multiply
    28,047x = 59,836 × 59,836
  4. Step 4: Simplify right side
    28,047x = 3,580,346,896
  5. Step 5: Solve for x
    x = 3,580,346,896/28,047
  6. Step 6: Final answer
    x = 127,655.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.