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Finding the Third Proportional to 17,653.78 and 24,748.03

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Solution

The third proportional to 17,653.78 and 24,748.03 is: 34,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.78 : 24,748.03 = 24,748.03 : x
  2. Step 2: Convert to fraction form
    17,653.78/24,748.03 = 24,748.03/x
  3. Step 3: Cross multiply
    17,653.78x = 24,748.03 × 24,748.03
  4. Step 4: Simplify right side
    17,653.78x = 612,465,050.75
  5. Step 5: Solve for x
    x = 612,465,050.75/17,653.78
  6. Step 6: Final answer
    x = 34,693.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.