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Finding the Third Proportional to 10,059.75 and 16,526.25

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Solution

The third proportional to 10,059.75 and 16,526.25 is: 27,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.75 : 16,526.25 = 16,526.25 : x
  2. Step 2: Convert to fraction form
    10,059.75/16,526.25 = 16,526.25/x
  3. Step 3: Cross multiply
    10,059.75x = 16,526.25 × 16,526.25
  4. Step 4: Simplify right side
    10,059.75x = 273,116,939.06
  5. Step 5: Solve for x
    x = 273,116,939.06/10,059.75
  6. Step 6: Final answer
    x = 27,149.48

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.