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Finding the Third Proportional to 7,935.75 and 17,032.50

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Solution

The third proportional to 7,935.75 and 17,032.50 is: 36,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,935.75 : 17,032.50 = 17,032.50 : x
  2. Step 2: Convert to fraction form
    7,935.75/17,032.50 = 17,032.50/x
  3. Step 3: Cross multiply
    7,935.75x = 17,032.50 × 17,032.50
  4. Step 4: Simplify right side
    7,935.75x = 290,106,056.25
  5. Step 5: Solve for x
    x = 290,106,056.25/7,935.75
  6. Step 6: Final answer
    x = 36,556.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.