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Finding the Third Proportional to 14,142 and 20,709

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Solution

The third proportional to 14,142 and 20,709 is: 30,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142 : 20,709 = 20,709 : x
  2. Step 2: Convert to fraction form
    14,142/20,709 = 20,709/x
  3. Step 3: Cross multiply
    14,142x = 20,709 × 20,709
  4. Step 4: Simplify right side
    14,142x = 428,862,681
  5. Step 5: Solve for x
    x = 428,862,681/14,142
  6. Step 6: Final answer
    x = 30,325.46

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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.