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Finding the Third Proportional to 10,995 and 17,728.50

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Solution

The third proportional to 10,995 and 17,728.50 is: 28,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995 : 17,728.50 = 17,728.50 : x
  2. Step 2: Convert to fraction form
    10,995/17,728.50 = 17,728.50/x
  3. Step 3: Cross multiply
    10,995x = 17,728.50 × 17,728.50
  4. Step 4: Simplify right side
    10,995x = 314,299,712.25
  5. Step 5: Solve for x
    x = 314,299,712.25/10,995
  6. Step 6: Final answer
    x = 28,585.69

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.