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Finding the Third Proportional to 27,477 and 52,765.50

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Solution

The third proportional to 27,477 and 52,765.50 is: 101,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477 : 52,765.50 = 52,765.50 : x
  2. Step 2: Convert to fraction form
    27,477/52,765.50 = 52,765.50/x
  3. Step 3: Cross multiply
    27,477x = 52,765.50 × 52,765.50
  4. Step 4: Simplify right side
    27,477x = 2,784,197,990.25
  5. Step 5: Solve for x
    x = 2,784,197,990.25/27,477
  6. Step 6: Final answer
    x = 101,328.31

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.