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Finding the Third Proportional to 17,361 and 26,762.06

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Solution

The third proportional to 17,361 and 26,762.06 is: 41,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,361 : 26,762.06 = 26,762.06 : x
  2. Step 2: Convert to fraction form
    17,361/26,762.06 = 26,762.06/x
  3. Step 3: Cross multiply
    17,361x = 26,762.06 × 26,762.06
  4. Step 4: Simplify right side
    17,361x = 716,207,989.25
  5. Step 5: Solve for x
    x = 716,207,989.25/17,361
  6. Step 6: Final answer
    x = 41,253.84

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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.