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Finding the Third Proportional to 39,773 and 53,827

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Solution

The third proportional to 39,773 and 53,827 is: 72,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,773 : 53,827 = 53,827 : x
  2. Step 2: Convert to fraction form
    39,773/53,827 = 53,827/x
  3. Step 3: Cross multiply
    39,773x = 53,827 × 53,827
  4. Step 4: Simplify right side
    39,773x = 2,897,345,929
  5. Step 5: Solve for x
    x = 2,897,345,929/39,773
  6. Step 6: Final answer
    x = 72,847.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.