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Finding the Third Proportional to 55,572 and 72,990

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Solution

The third proportional to 55,572 and 72,990 is: 95,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,572 : 72,990 = 72,990 : x
  2. Step 2: Convert to fraction form
    55,572/72,990 = 72,990/x
  3. Step 3: Cross multiply
    55,572x = 72,990 × 72,990
  4. Step 4: Simplify right side
    55,572x = 5,327,540,100
  5. Step 5: Solve for x
    x = 5,327,540,100/55,572
  6. Step 6: Final answer
    x = 95,867.35

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.