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Finding the Third Proportional to 36,779 and 56,353.25

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Solution

The third proportional to 36,779 and 56,353.25 is: 86,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,779 : 56,353.25 = 56,353.25 : x
  2. Step 2: Convert to fraction form
    36,779/56,353.25 = 56,353.25/x
  3. Step 3: Cross multiply
    36,779x = 56,353.25 × 56,353.25
  4. Step 4: Simplify right side
    36,779x = 3,175,688,785.56
  5. Step 5: Solve for x
    x = 3,175,688,785.56/36,779
  6. Step 6: Final answer
    x = 86,345.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.