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Finding the Third Proportional to 6,601.50 and 15,583.50

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Solution

The third proportional to 6,601.50 and 15,583.50 is: 36,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.50 : 15,583.50 = 15,583.50 : x
  2. Step 2: Convert to fraction form
    6,601.50/15,583.50 = 15,583.50/x
  3. Step 3: Cross multiply
    6,601.50x = 15,583.50 × 15,583.50
  4. Step 4: Simplify right side
    6,601.50x = 242,845,472.25
  5. Step 5: Solve for x
    x = 242,845,472.25/6,601.50
  6. Step 6: Final answer
    x = 36,786.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.