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Finding the Third Proportional to 12,523 and 26,262

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Solution

The third proportional to 12,523 and 26,262 is: 55,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523 : 26,262 = 26,262 : x
  2. Step 2: Convert to fraction form
    12,523/26,262 = 26,262/x
  3. Step 3: Cross multiply
    12,523x = 26,262 × 26,262
  4. Step 4: Simplify right side
    12,523x = 689,692,644
  5. Step 5: Solve for x
    x = 689,692,644/12,523
  6. Step 6: Final answer
    x = 55,074.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.