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Finding the Third Proportional to 14,023 and 30,637

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Solution

The third proportional to 14,023 and 30,637 is: 66,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023 : 30,637 = 30,637 : x
  2. Step 2: Convert to fraction form
    14,023/30,637 = 30,637/x
  3. Step 3: Cross multiply
    14,023x = 30,637 × 30,637
  4. Step 4: Simplify right side
    14,023x = 938,625,769
  5. Step 5: Solve for x
    x = 938,625,769/14,023
  6. Step 6: Final answer
    x = 66,934.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.