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Finding the Third Proportional to 16,564.50 and 25,110

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Solution

The third proportional to 16,564.50 and 25,110 is: 38,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.50 : 25,110 = 25,110 : x
  2. Step 2: Convert to fraction form
    16,564.50/25,110 = 25,110/x
  3. Step 3: Cross multiply
    16,564.50x = 25,110 × 25,110
  4. Step 4: Simplify right side
    16,564.50x = 630,512,100
  5. Step 5: Solve for x
    x = 630,512,100/16,564.50
  6. Step 6: Final answer
    x = 38,064.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.