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Finding the Third Proportional to 11,499.75 and 17,032.50

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Solution

The third proportional to 11,499.75 and 17,032.50 is: 25,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.75 : 17,032.50 = 17,032.50 : x
  2. Step 2: Convert to fraction form
    11,499.75/17,032.50 = 17,032.50/x
  3. Step 3: Cross multiply
    11,499.75x = 17,032.50 × 17,032.50
  4. Step 4: Simplify right side
    11,499.75x = 290,106,056.25
  5. Step 5: Solve for x
    x = 290,106,056.25/11,499.75
  6. Step 6: Final answer
    x = 25,227.16

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.