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Finding the Third Proportional to 30,277.50 and 47,255.25

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Solution

The third proportional to 30,277.50 and 47,255.25 is: 73,753.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.50 : 47,255.25 = 47,255.25 : x
  2. Step 2: Convert to fraction form
    30,277.50/47,255.25 = 47,255.25/x
  3. Step 3: Cross multiply
    30,277.50x = 47,255.25 × 47,255.25
  4. Step 4: Simplify right side
    30,277.50x = 2,233,058,652.56
  5. Step 5: Solve for x
    x = 2,233,058,652.56/30,277.50
  6. Step 6: Final answer
    x = 73,753.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.