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Finding the Third Proportional to 5,537.37 and 8,882.63

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Solution

The third proportional to 5,537.37 and 8,882.63 is: 14,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.37 : 8,882.63 = 8,882.63 : x
  2. Step 2: Convert to fraction form
    5,537.37/8,882.63 = 8,882.63/x
  3. Step 3: Cross multiply
    5,537.37x = 8,882.63 × 8,882.63
  4. Step 4: Simplify right side
    5,537.37x = 78,901,130.98
  5. Step 5: Solve for x
    x = 78,901,130.98/5,537.37
  6. Step 6: Final answer
    x = 14,248.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.