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Finding the Third Proportional to 17,417.25 and 26,165.25

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Solution

The third proportional to 17,417.25 and 26,165.25 is: 39,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417.25 : 26,165.25 = 26,165.25 : x
  2. Step 2: Convert to fraction form
    17,417.25/26,165.25 = 26,165.25/x
  3. Step 3: Cross multiply
    17,417.25x = 26,165.25 × 26,165.25
  4. Step 4: Simplify right side
    17,417.25x = 684,620,307.56
  5. Step 5: Solve for x
    x = 684,620,307.56/17,417.25
  6. Step 6: Final answer
    x = 39,307.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.