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Finding the Third Proportional to 12,492.56 and 26,829.56

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Solution

The third proportional to 12,492.56 and 26,829.56 is: 57,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.56 : 26,829.56 = 26,829.56 : x
  2. Step 2: Convert to fraction form
    12,492.56/26,829.56 = 26,829.56/x
  3. Step 3: Cross multiply
    12,492.56x = 26,829.56 × 26,829.56
  4. Step 4: Simplify right side
    12,492.56x = 719,825,423.94
  5. Step 5: Solve for x
    x = 719,825,423.94/12,492.56
  6. Step 6: Final answer
    x = 57,620.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.