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Finding the Third Proportional to 34,427 and 72,989.50

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Solution

The third proportional to 34,427 and 72,989.50 is: 154,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,427 : 72,989.50 = 72,989.50 : x
  2. Step 2: Convert to fraction form
    34,427/72,989.50 = 72,989.50/x
  3. Step 3: Cross multiply
    34,427x = 72,989.50 × 72,989.50
  4. Step 4: Simplify right side
    34,427x = 5,327,467,110.25
  5. Step 5: Solve for x
    x = 5,327,467,110.25/34,427
  6. Step 6: Final answer
    x = 154,746.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.