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Finding the Third Proportional to 23,851.13 and 30,763.13

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Solution

The third proportional to 23,851.13 and 30,763.13 is: 39,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.13 : 30,763.13 = 30,763.13 : x
  2. Step 2: Convert to fraction form
    23,851.13/30,763.13 = 30,763.13/x
  3. Step 3: Cross multiply
    23,851.13x = 30,763.13 × 30,763.13
  4. Step 4: Simplify right side
    23,851.13x = 946,369,859.77
  5. Step 5: Solve for x
    x = 946,369,859.77/23,851.13
  6. Step 6: Final answer
    x = 39,678.21

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.