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Finding the Third Proportional to 12,699 and 26,265.38

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Solution

The third proportional to 12,699 and 26,265.38 is: 54,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699 : 26,265.38 = 26,265.38 : x
  2. Step 2: Convert to fraction form
    12,699/26,265.38 = 26,265.38/x
  3. Step 3: Cross multiply
    12,699x = 26,265.38 × 26,265.38
  4. Step 4: Simplify right side
    12,699x = 689,869,923.89
  5. Step 5: Solve for x
    x = 689,869,923.89/12,699
  6. Step 6: Final answer
    x = 54,324.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.