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Finding the Third Proportional to 5,037.19 and 5,644.69

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Solution

The third proportional to 5,037.19 and 5,644.69 is: 6,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037.19 : 5,644.69 = 5,644.69 : x
  2. Step 2: Convert to fraction form
    5,037.19/5,644.69 = 5,644.69/x
  3. Step 3: Cross multiply
    5,037.19x = 5,644.69 × 5,644.69
  4. Step 4: Simplify right side
    5,037.19x = 31,862,496.97
  5. Step 5: Solve for x
    x = 31,862,496.97/5,037.19
  6. Step 6: Final answer
    x = 6,325.45

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.