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Finding the Third Proportional to 12,897.98 and 26,624.64

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Solution

The third proportional to 12,897.98 and 26,624.64 is: 54,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.98 : 26,624.64 = 26,624.64 : x
  2. Step 2: Convert to fraction form
    12,897.98/26,624.64 = 26,624.64/x
  3. Step 3: Cross multiply
    12,897.98x = 26,624.64 × 26,624.64
  4. Step 4: Simplify right side
    12,897.98x = 708,871,280.41
  5. Step 5: Solve for x
    x = 708,871,280.41/12,897.98
  6. Step 6: Final answer
    x = 54,959.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.