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Finding the Third Proportional to 10,703.39 and 23,246.37

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Solution

The third proportional to 10,703.39 and 23,246.37 is: 50,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.39 : 23,246.37 = 23,246.37 : x
  2. Step 2: Convert to fraction form
    10,703.39/23,246.37 = 23,246.37/x
  3. Step 3: Cross multiply
    10,703.39x = 23,246.37 × 23,246.37
  4. Step 4: Simplify right side
    10,703.39x = 540,393,587.42
  5. Step 5: Solve for x
    x = 540,393,587.42/10,703.39
  6. Step 6: Final answer
    x = 50,488.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.