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Finding the Third Proportional to 38,854.50 and 85,875

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Solution

The third proportional to 38,854.50 and 85,875 is: 189,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,854.50 : 85,875 = 85,875 : x
  2. Step 2: Convert to fraction form
    38,854.50/85,875 = 85,875/x
  3. Step 3: Cross multiply
    38,854.50x = 85,875 × 85,875
  4. Step 4: Simplify right side
    38,854.50x = 7,374,515,625
  5. Step 5: Solve for x
    x = 7,374,515,625/38,854.50
  6. Step 6: Final answer
    x = 189,798.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.