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Finding the Third Proportional to 14,271 and 30,102

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Solution

The third proportional to 14,271 and 30,102 is: 63,494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271 : 30,102 = 30,102 : x
  2. Step 2: Convert to fraction form
    14,271/30,102 = 30,102/x
  3. Step 3: Cross multiply
    14,271x = 30,102 × 30,102
  4. Step 4: Simplify right side
    14,271x = 906,130,404
  5. Step 5: Solve for x
    x = 906,130,404/14,271
  6. Step 6: Final answer
    x = 63,494.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.