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Finding the Third Proportional to 38,317.22 and 83,530.78

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Solution

The third proportional to 38,317.22 and 83,530.78 is: 182,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,317.22 : 83,530.78 = 83,530.78 : x
  2. Step 2: Convert to fraction form
    38,317.22/83,530.78 = 83,530.78/x
  3. Step 3: Cross multiply
    38,317.22x = 83,530.78 × 83,530.78
  4. Step 4: Simplify right side
    38,317.22x = 6,977,391,416.24
  5. Step 5: Solve for x
    x = 6,977,391,416.24/38,317.22
  6. Step 6: Final answer
    x = 182,095.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.