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Finding the Third Proportional to 17,872.84 and 39,316.64

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Solution

The third proportional to 17,872.84 and 39,316.64 is: 86,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.84 : 39,316.64 = 39,316.64 : x
  2. Step 2: Convert to fraction form
    17,872.84/39,316.64 = 39,316.64/x
  3. Step 3: Cross multiply
    17,872.84x = 39,316.64 × 39,316.64
  4. Step 4: Simplify right side
    17,872.84x = 1,545,798,230.04
  5. Step 5: Solve for x
    x = 1,545,798,230.04/17,872.84
  6. Step 6: Final answer
    x = 86,488.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.