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Finding the Third Proportional to 4,909.36 and 10,809.70

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Solution

The third proportional to 4,909.36 and 10,809.70 is: 23,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.36 : 10,809.70 = 10,809.70 : x
  2. Step 2: Convert to fraction form
    4,909.36/10,809.70 = 10,809.70/x
  3. Step 3: Cross multiply
    4,909.36x = 10,809.70 × 10,809.70
  4. Step 4: Simplify right side
    4,909.36x = 116,849,681.65
  5. Step 5: Solve for x
    x = 116,849,681.65/4,909.36
  6. Step 6: Final answer
    x = 23,801.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.