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Finding the Third Proportional to 52,906.50 and 71,772

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Solution

The third proportional to 52,906.50 and 71,772 is: 97,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,906.50 : 71,772 = 71,772 : x
  2. Step 2: Convert to fraction form
    52,906.50/71,772 = 71,772/x
  3. Step 3: Cross multiply
    52,906.50x = 71,772 × 71,772
  4. Step 4: Simplify right side
    52,906.50x = 5,151,219,984
  5. Step 5: Solve for x
    x = 5,151,219,984/52,906.50
  6. Step 6: Final answer
    x = 97,364.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.