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Finding the Third Proportional to 14,030 and 23,381

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Solution

The third proportional to 14,030 and 23,381 is: 38,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030 : 23,381 = 23,381 : x
  2. Step 2: Convert to fraction form
    14,030/23,381 = 23,381/x
  3. Step 3: Cross multiply
    14,030x = 23,381 × 23,381
  4. Step 4: Simplify right side
    14,030x = 546,671,161
  5. Step 5: Solve for x
    x = 546,671,161/14,030
  6. Step 6: Final answer
    x = 38,964.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.