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Finding the Third Proportional to 3,552.88 and 7,538.63

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Solution

The third proportional to 3,552.88 and 7,538.63 is: 15,995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.88 : 7,538.63 = 7,538.63 : x
  2. Step 2: Convert to fraction form
    3,552.88/7,538.63 = 7,538.63/x
  3. Step 3: Cross multiply
    3,552.88x = 7,538.63 × 7,538.63
  4. Step 4: Simplify right side
    3,552.88x = 56,830,866.89
  5. Step 5: Solve for x
    x = 56,830,866.89/3,552.88
  6. Step 6: Final answer
    x = 15,995.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.