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Finding the Third Proportional to 27,946.50 and 42,558

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Solution

The third proportional to 27,946.50 and 42,558 is: 64,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946.50 : 42,558 = 42,558 : x
  2. Step 2: Convert to fraction form
    27,946.50/42,558 = 42,558/x
  3. Step 3: Cross multiply
    27,946.50x = 42,558 × 42,558
  4. Step 4: Simplify right side
    27,946.50x = 1,811,183,364
  5. Step 5: Solve for x
    x = 1,811,183,364/27,946.50
  6. Step 6: Final answer
    x = 64,808.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.