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Finding the Third Proportional to 35,025.75 and 76,852.13

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Solution

The third proportional to 35,025.75 and 76,852.13 is: 168,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,025.75 : 76,852.13 = 76,852.13 : x
  2. Step 2: Convert to fraction form
    35,025.75/76,852.13 = 76,852.13/x
  3. Step 3: Cross multiply
    35,025.75x = 76,852.13 × 76,852.13
  4. Step 4: Simplify right side
    35,025.75x = 5,906,249,117.02
  5. Step 5: Solve for x
    x = 5,906,249,117.02/35,025.75
  6. Step 6: Final answer
    x = 168,625.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.