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Finding the Third Proportional to 2,357.93 and 4,909.92

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Solution

The third proportional to 2,357.93 and 4,909.92 is: 10,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.93 : 4,909.92 = 4,909.92 : x
  2. Step 2: Convert to fraction form
    2,357.93/4,909.92 = 4,909.92/x
  3. Step 3: Cross multiply
    2,357.93x = 4,909.92 × 4,909.92
  4. Step 4: Simplify right side
    2,357.93x = 24,107,332.82
  5. Step 5: Solve for x
    x = 24,107,332.82/2,357.93
  6. Step 6: Final answer
    x = 10,223.94

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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.