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Finding the Third Proportional to 35,347.50 and 76,915.13

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Solution

The third proportional to 35,347.50 and 76,915.13 is: 167,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,347.50 : 76,915.13 = 76,915.13 : x
  2. Step 2: Convert to fraction form
    35,347.50/76,915.13 = 76,915.13/x
  3. Step 3: Cross multiply
    35,347.50x = 76,915.13 × 76,915.13
  4. Step 4: Simplify right side
    35,347.50x = 5,915,936,453.77
  5. Step 5: Solve for x
    x = 5,915,936,453.77/35,347.50
  6. Step 6: Final answer
    x = 167,365.06

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