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Finding the Third Proportional to 5,076.63 and 7,572.87

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Solution

The third proportional to 5,076.63 and 7,572.87 is: 11,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.63 : 7,572.87 = 7,572.87 : x
  2. Step 2: Convert to fraction form
    5,076.63/7,572.87 = 7,572.87/x
  3. Step 3: Cross multiply
    5,076.63x = 7,572.87 × 7,572.87
  4. Step 4: Simplify right side
    5,076.63x = 57,348,317.44
  5. Step 5: Solve for x
    x = 57,348,317.44/5,076.63
  6. Step 6: Final answer
    x = 11,296.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.