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Finding the Third Proportional to 4,426.69 and 9,703.88

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Solution

The third proportional to 4,426.69 and 9,703.88 is: 21,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426.69 : 9,703.88 = 9,703.88 : x
  2. Step 2: Convert to fraction form
    4,426.69/9,703.88 = 9,703.88/x
  3. Step 3: Cross multiply
    4,426.69x = 9,703.88 × 9,703.88
  4. Step 4: Simplify right side
    4,426.69x = 94,165,190.02
  5. Step 5: Solve for x
    x = 94,165,190.02/4,426.69
  6. Step 6: Final answer
    x = 21,272.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.