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Finding the Third Proportional to 4,696.13 and 7,029.38

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Solution

The third proportional to 4,696.13 and 7,029.38 is: 10,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.13 : 7,029.38 = 7,029.38 : x
  2. Step 2: Convert to fraction form
    4,696.13/7,029.38 = 7,029.38/x
  3. Step 3: Cross multiply
    4,696.13x = 7,029.38 × 7,029.38
  4. Step 4: Simplify right side
    4,696.13x = 49,412,112.89
  5. Step 5: Solve for x
    x = 49,412,112.89/4,696.13
  6. Step 6: Final answer
    x = 10,521.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.