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Finding the Third Proportional to 12,276.56 and 26,013.66

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Solution

The third proportional to 12,276.56 and 26,013.66 is: 55,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.56 : 26,013.66 = 26,013.66 : x
  2. Step 2: Convert to fraction form
    12,276.56/26,013.66 = 26,013.66/x
  3. Step 3: Cross multiply
    12,276.56x = 26,013.66 × 26,013.66
  4. Step 4: Simplify right side
    12,276.56x = 676,710,311.49
  5. Step 5: Solve for x
    x = 676,710,311.49/12,276.56
  6. Step 6: Final answer
    x = 55,122.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.