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Finding the Third Proportional to 19,855.13 and 36,703.13

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Solution

The third proportional to 19,855.13 and 36,703.13 is: 67,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.13 : 36,703.13 = 36,703.13 : x
  2. Step 2: Convert to fraction form
    19,855.13/36,703.13 = 36,703.13/x
  3. Step 3: Cross multiply
    19,855.13x = 36,703.13 × 36,703.13
  4. Step 4: Simplify right side
    19,855.13x = 1,347,119,384.77
  5. Step 5: Solve for x
    x = 1,347,119,384.77/19,855.13
  6. Step 6: Final answer
    x = 67,847.44

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.