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Finding the Third Proportional to 15,035.63 and 31,296.38

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Solution

The third proportional to 15,035.63 and 31,296.38 is: 65,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,035.63 : 31,296.38 = 31,296.38 : x
  2. Step 2: Convert to fraction form
    15,035.63/31,296.38 = 31,296.38/x
  3. Step 3: Cross multiply
    15,035.63x = 31,296.38 × 31,296.38
  4. Step 4: Simplify right side
    15,035.63x = 979,463,088.14
  5. Step 5: Solve for x
    x = 979,463,088.14/15,035.63
  6. Step 6: Final answer
    x = 65,142.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.