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Finding the Third Proportional to 13,473.84 and 20,681.58

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Solution

The third proportional to 13,473.84 and 20,681.58 is: 31,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.84 : 20,681.58 = 20,681.58 : x
  2. Step 2: Convert to fraction form
    13,473.84/20,681.58 = 20,681.58/x
  3. Step 3: Cross multiply
    13,473.84x = 20,681.58 × 20,681.58
  4. Step 4: Simplify right side
    13,473.84x = 427,727,673.74
  5. Step 5: Solve for x
    x = 427,727,673.74/13,473.84
  6. Step 6: Final answer
    x = 31,745.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.