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Finding the Third Proportional to 10,319.75 and 17,073.75

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Solution

The third proportional to 10,319.75 and 17,073.75 is: 28,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.75 : 17,073.75 = 17,073.75 : x
  2. Step 2: Convert to fraction form
    10,319.75/17,073.75 = 17,073.75/x
  3. Step 3: Cross multiply
    10,319.75x = 17,073.75 × 17,073.75
  4. Step 4: Simplify right side
    10,319.75x = 291,512,939.06
  5. Step 5: Solve for x
    x = 291,512,939.06/10,319.75
  6. Step 6: Final answer
    x = 28,248.06

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.