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Finding the Third Proportional to 4,909.36 and 10,907.16

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Solution

The third proportional to 4,909.36 and 10,907.16 is: 24,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.36 : 10,907.16 = 10,907.16 : x
  2. Step 2: Convert to fraction form
    4,909.36/10,907.16 = 10,907.16/x
  3. Step 3: Cross multiply
    4,909.36x = 10,907.16 × 10,907.16
  4. Step 4: Simplify right side
    4,909.36x = 118,966,057.46
  5. Step 5: Solve for x
    x = 118,966,057.46/4,909.36
  6. Step 6: Final answer
    x = 24,232.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.