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Finding the Third Proportional to 18,597.38 and 39,011.63

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Solution

The third proportional to 18,597.38 and 39,011.63 is: 81,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,597.38 : 39,011.63 = 39,011.63 : x
  2. Step 2: Convert to fraction form
    18,597.38/39,011.63 = 39,011.63/x
  3. Step 3: Cross multiply
    18,597.38x = 39,011.63 × 39,011.63
  4. Step 4: Simplify right side
    18,597.38x = 1,521,906,885.14
  5. Step 5: Solve for x
    x = 1,521,906,885.14/18,597.38
  6. Step 6: Final answer
    x = 81,834.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.