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Finding the Third Proportional to 17,752.50 and 26,674.31

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Solution

The third proportional to 17,752.50 and 26,674.31 is: 40,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.50 : 26,674.31 = 26,674.31 : x
  2. Step 2: Convert to fraction form
    17,752.50/26,674.31 = 26,674.31/x
  3. Step 3: Cross multiply
    17,752.50x = 26,674.31 × 26,674.31
  4. Step 4: Simplify right side
    17,752.50x = 711,518,947.35
  5. Step 5: Solve for x
    x = 711,518,947.35/17,752.50
  6. Step 6: Final answer
    x = 40,079.93

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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.