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Finding the Third Proportional to 7,035.75 and 10,892.25

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Solution

The third proportional to 7,035.75 and 10,892.25 is: 16,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.75 : 10,892.25 = 10,892.25 : x
  2. Step 2: Convert to fraction form
    7,035.75/10,892.25 = 10,892.25/x
  3. Step 3: Cross multiply
    7,035.75x = 10,892.25 × 10,892.25
  4. Step 4: Simplify right side
    7,035.75x = 118,641,110.06
  5. Step 5: Solve for x
    x = 118,641,110.06/7,035.75
  6. Step 6: Final answer
    x = 16,862.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.