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Finding the Third Proportional to 10,312 and 14,620

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Solution

The third proportional to 10,312 and 14,620 is: 20,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312 : 14,620 = 14,620 : x
  2. Step 2: Convert to fraction form
    10,312/14,620 = 14,620/x
  3. Step 3: Cross multiply
    10,312x = 14,620 × 14,620
  4. Step 4: Simplify right side
    10,312x = 213,744,400
  5. Step 5: Solve for x
    x = 213,744,400/10,312
  6. Step 6: Final answer
    x = 20,727.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.