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Finding the Third Proportional to 17,030.25 and 26,430.75

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Solution

The third proportional to 17,030.25 and 26,430.75 is: 41,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,030.25 : 26,430.75 = 26,430.75 : x
  2. Step 2: Convert to fraction form
    17,030.25/26,430.75 = 26,430.75/x
  3. Step 3: Cross multiply
    17,030.25x = 26,430.75 × 26,430.75
  4. Step 4: Simplify right side
    17,030.25x = 698,584,545.56
  5. Step 5: Solve for x
    x = 698,584,545.56/17,030.25
  6. Step 6: Final answer
    x = 41,020.22

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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.