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Finding the Third Proportional to 40,125.38 and 61,256.25

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Solution

The third proportional to 40,125.38 and 61,256.25 is: 93,515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,125.38 : 61,256.25 = 61,256.25 : x
  2. Step 2: Convert to fraction form
    40,125.38/61,256.25 = 61,256.25/x
  3. Step 3: Cross multiply
    40,125.38x = 61,256.25 × 61,256.25
  4. Step 4: Simplify right side
    40,125.38x = 3,752,328,164.06
  5. Step 5: Solve for x
    x = 3,752,328,164.06/40,125.38
  6. Step 6: Final answer
    x = 93,515.09

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