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Finding the Third Proportional to 14,126.63 and 20,683.13

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Solution

The third proportional to 14,126.63 and 20,683.13 is: 30,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.63 : 20,683.13 = 20,683.13 : x
  2. Step 2: Convert to fraction form
    14,126.63/20,683.13 = 20,683.13/x
  3. Step 3: Cross multiply
    14,126.63x = 20,683.13 × 20,683.13
  4. Step 4: Simplify right side
    14,126.63x = 427,791,659.77
  5. Step 5: Solve for x
    x = 427,791,659.77/14,126.63
  6. Step 6: Final answer
    x = 30,282.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.