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Finding the Third Proportional to 4,037.34 and 6,239.53

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Solution

The third proportional to 4,037.34 and 6,239.53 is: 9,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037.34 : 6,239.53 = 6,239.53 : x
  2. Step 2: Convert to fraction form
    4,037.34/6,239.53 = 6,239.53/x
  3. Step 3: Cross multiply
    4,037.34x = 6,239.53 × 6,239.53
  4. Step 4: Simplify right side
    4,037.34x = 38,931,750.22
  5. Step 5: Solve for x
    x = 38,931,750.22/4,037.34
  6. Step 6: Final answer
    x = 9,642.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.