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Finding the Third Proportional to 35,886.50 and 51,369.25

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Solution

The third proportional to 35,886.50 and 51,369.25 is: 73,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,886.50 : 51,369.25 = 51,369.25 : x
  2. Step 2: Convert to fraction form
    35,886.50/51,369.25 = 51,369.25/x
  3. Step 3: Cross multiply
    35,886.50x = 51,369.25 × 51,369.25
  4. Step 4: Simplify right side
    35,886.50x = 2,638,799,845.56
  5. Step 5: Solve for x
    x = 2,638,799,845.56/35,886.50
  6. Step 6: Final answer
    x = 73,531.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.