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Finding the Third Proportional to 38,174.63 and 56,121.75

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Solution

The third proportional to 38,174.63 and 56,121.75 is: 82,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174.63 : 56,121.75 = 56,121.75 : x
  2. Step 2: Convert to fraction form
    38,174.63/56,121.75 = 56,121.75/x
  3. Step 3: Cross multiply
    38,174.63x = 56,121.75 × 56,121.75
  4. Step 4: Simplify right side
    38,174.63x = 3,149,650,823.06
  5. Step 5: Solve for x
    x = 3,149,650,823.06/38,174.63
  6. Step 6: Final answer
    x = 82,506.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.