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Finding the Third Proportional to 17,065 and 25,465.75

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Solution

The third proportional to 17,065 and 25,465.75 is: 38,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065 : 25,465.75 = 25,465.75 : x
  2. Step 2: Convert to fraction form
    17,065/25,465.75 = 25,465.75/x
  3. Step 3: Cross multiply
    17,065x = 25,465.75 × 25,465.75
  4. Step 4: Simplify right side
    17,065x = 648,504,423.06
  5. Step 5: Solve for x
    x = 648,504,423.06/17,065
  6. Step 6: Final answer
    x = 38,002.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.