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Finding the Third Proportional to 12,230 and 25,417

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Solution

The third proportional to 12,230 and 25,417 is: 52,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230 : 25,417 = 25,417 : x
  2. Step 2: Convert to fraction form
    12,230/25,417 = 25,417/x
  3. Step 3: Cross multiply
    12,230x = 25,417 × 25,417
  4. Step 4: Simplify right side
    12,230x = 646,023,889
  5. Step 5: Solve for x
    x = 646,023,889/12,230
  6. Step 6: Final answer
    x = 52,822.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.