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Finding the Third Proportional to 36,283.50 and 51,386

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Solution

The third proportional to 36,283.50 and 51,386 is: 72,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,283.50 : 51,386 = 51,386 : x
  2. Step 2: Convert to fraction form
    36,283.50/51,386 = 51,386/x
  3. Step 3: Cross multiply
    36,283.50x = 51,386 × 51,386
  4. Step 4: Simplify right side
    36,283.50x = 2,640,520,996
  5. Step 5: Solve for x
    x = 2,640,520,996/36,283.50
  6. Step 6: Final answer
    x = 72,774.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.