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Finding the Third Proportional to 17,914.61 and 23,014.76

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Solution

The third proportional to 17,914.61 and 23,014.76 is: 29,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,914.61 : 23,014.76 = 23,014.76 : x
  2. Step 2: Convert to fraction form
    17,914.61/23,014.76 = 23,014.76/x
  3. Step 3: Cross multiply
    17,914.61x = 23,014.76 × 23,014.76
  4. Step 4: Simplify right side
    17,914.61x = 529,679,077.17
  5. Step 5: Solve for x
    x = 529,679,077.17/17,914.61
  6. Step 6: Final answer
    x = 29,566.88

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.