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Finding the Third Proportional to 17,406.75 and 30,347.63

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Solution

The third proportional to 17,406.75 and 30,347.63 is: 52,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.75 : 30,347.63 = 30,347.63 : x
  2. Step 2: Convert to fraction form
    17,406.75/30,347.63 = 30,347.63/x
  3. Step 3: Cross multiply
    17,406.75x = 30,347.63 × 30,347.63
  4. Step 4: Simplify right side
    17,406.75x = 920,978,343.14
  5. Step 5: Solve for x
    x = 920,978,343.14/17,406.75
  6. Step 6: Final answer
    x = 52,909.26

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.