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Finding the Third Proportional to 12,306.38 and 26,150.63

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Solution

The third proportional to 12,306.38 and 26,150.63 is: 55,569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.38 : 26,150.63 = 26,150.63 : x
  2. Step 2: Convert to fraction form
    12,306.38/26,150.63 = 26,150.63/x
  3. Step 3: Cross multiply
    12,306.38x = 26,150.63 × 26,150.63
  4. Step 4: Simplify right side
    12,306.38x = 683,855,187.89
  5. Step 5: Solve for x
    x = 683,855,187.89/12,306.38
  6. Step 6: Final answer
    x = 55,569.18

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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.