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Finding the Third Proportional to 17,835.19 and 26,703.42

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Solution

The third proportional to 17,835.19 and 26,703.42 is: 39,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.19 : 26,703.42 = 26,703.42 : x
  2. Step 2: Convert to fraction form
    17,835.19/26,703.42 = 26,703.42/x
  3. Step 3: Cross multiply
    17,835.19x = 26,703.42 × 26,703.42
  4. Step 4: Simplify right side
    17,835.19x = 713,072,739.83
  5. Step 5: Solve for x
    x = 713,072,739.83/17,835.19
  6. Step 6: Final answer
    x = 39,981.23

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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.