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Finding the Third Proportional to 15,099.75 and 35,101.69

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Solution

The third proportional to 15,099.75 and 35,101.69 is: 81,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,099.75 : 35,101.69 = 35,101.69 : x
  2. Step 2: Convert to fraction form
    15,099.75/35,101.69 = 35,101.69/x
  3. Step 3: Cross multiply
    15,099.75x = 35,101.69 × 35,101.69
  4. Step 4: Simplify right side
    15,099.75x = 1,232,128,465.35
  5. Step 5: Solve for x
    x = 1,232,128,465.35/15,099.75
  6. Step 6: Final answer
    x = 81,599.26

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.