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Finding the Third Proportional to 17,795.50 and 24,130.50

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Solution

The third proportional to 17,795.50 and 24,130.50 is: 32,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,795.50 : 24,130.50 = 24,130.50 : x
  2. Step 2: Convert to fraction form
    17,795.50/24,130.50 = 24,130.50/x
  3. Step 3: Cross multiply
    17,795.50x = 24,130.50 × 24,130.50
  4. Step 4: Simplify right side
    17,795.50x = 582,281,030.25
  5. Step 5: Solve for x
    x = 582,281,030.25/17,795.50
  6. Step 6: Final answer
    x = 32,720.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.