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Finding the Third Proportional to 42,383.25 and 65,668.50

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Solution

The third proportional to 42,383.25 and 65,668.50 is: 101,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,383.25 : 65,668.50 = 65,668.50 : x
  2. Step 2: Convert to fraction form
    42,383.25/65,668.50 = 65,668.50/x
  3. Step 3: Cross multiply
    42,383.25x = 65,668.50 × 65,668.50
  4. Step 4: Simplify right side
    42,383.25x = 4,312,351,892.25
  5. Step 5: Solve for x
    x = 4,312,351,892.25/42,383.25
  6. Step 6: Final answer
    x = 101,746.61

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