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Finding the Third Proportional to 12,580 and 16,246

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Solution

The third proportional to 12,580 and 16,246 is: 20,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580 : 16,246 = 16,246 : x
  2. Step 2: Convert to fraction form
    12,580/16,246 = 16,246/x
  3. Step 3: Cross multiply
    12,580x = 16,246 × 16,246
  4. Step 4: Simplify right side
    12,580x = 263,932,516
  5. Step 5: Solve for x
    x = 263,932,516/12,580
  6. Step 6: Final answer
    x = 20,980.33

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.