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Finding the Third Proportional to 12,410 and 26,200

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Solution

The third proportional to 12,410 and 26,200 is: 55,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410 : 26,200 = 26,200 : x
  2. Step 2: Convert to fraction form
    12,410/26,200 = 26,200/x
  3. Step 3: Cross multiply
    12,410x = 26,200 × 26,200
  4. Step 4: Simplify right side
    12,410x = 686,440,000
  5. Step 5: Solve for x
    x = 686,440,000/12,410
  6. Step 6: Final answer
    x = 55,313.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.