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Finding the Third Proportional to 17,095.50 and 26,261.25

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Solution

The third proportional to 17,095.50 and 26,261.25 is: 40,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,095.50 : 26,261.25 = 26,261.25 : x
  2. Step 2: Convert to fraction form
    17,095.50/26,261.25 = 26,261.25/x
  3. Step 3: Cross multiply
    17,095.50x = 26,261.25 × 26,261.25
  4. Step 4: Simplify right side
    17,095.50x = 689,653,251.56
  5. Step 5: Solve for x
    x = 689,653,251.56/17,095.50
  6. Step 6: Final answer
    x = 40,341.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.