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Finding the Third Proportional to 17,001.75 and 28,095.75

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Solution

The third proportional to 17,001.75 and 28,095.75 is: 46,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,001.75 : 28,095.75 = 28,095.75 : x
  2. Step 2: Convert to fraction form
    17,001.75/28,095.75 = 28,095.75/x
  3. Step 3: Cross multiply
    17,001.75x = 28,095.75 × 28,095.75
  4. Step 4: Simplify right side
    17,001.75x = 789,371,168.06
  5. Step 5: Solve for x
    x = 789,371,168.06/17,001.75
  6. Step 6: Final answer
    x = 46,428.82

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.