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Finding the Third Proportional to 36,951.61 and 81,283.92

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Solution

The third proportional to 36,951.61 and 81,283.92 is: 178,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,951.61 : 81,283.92 = 81,283.92 : x
  2. Step 2: Convert to fraction form
    36,951.61/81,283.92 = 81,283.92/x
  3. Step 3: Cross multiply
    36,951.61x = 81,283.92 × 81,283.92
  4. Step 4: Simplify right side
    36,951.61x = 6,607,075,955.38
  5. Step 5: Solve for x
    x = 6,607,075,955.38/36,951.61
  6. Step 6: Final answer
    x = 178,803.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.