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Finding the Third Proportional to 5,515.88 and 8,546.63

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Solution

The third proportional to 5,515.88 and 8,546.63 is: 13,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,515.88 : 8,546.63 = 8,546.63 : x
  2. Step 2: Convert to fraction form
    5,515.88/8,546.63 = 8,546.63/x
  3. Step 3: Cross multiply
    5,515.88x = 8,546.63 × 8,546.63
  4. Step 4: Simplify right side
    5,515.88x = 73,044,798.89
  5. Step 5: Solve for x
    x = 73,044,798.89/5,515.88
  6. Step 6: Final answer
    x = 13,242.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.