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Finding the Third Proportional to 2,602.76 and 5,495.98

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Solution

The third proportional to 2,602.76 and 5,495.98 is: 11,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.76 : 5,495.98 = 5,495.98 : x
  2. Step 2: Convert to fraction form
    2,602.76/5,495.98 = 5,495.98/x
  3. Step 3: Cross multiply
    2,602.76x = 5,495.98 × 5,495.98
  4. Step 4: Simplify right side
    2,602.76x = 30,205,758.38
  5. Step 5: Solve for x
    x = 30,205,758.38/2,602.76
  6. Step 6: Final answer
    x = 11,605.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.