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Finding the Third Proportional to 4,417.94 and 9,448.69

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Solution

The third proportional to 4,417.94 and 9,448.69 is: 20,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.94 : 9,448.69 = 9,448.69 : x
  2. Step 2: Convert to fraction form
    4,417.94/9,448.69 = 9,448.69/x
  3. Step 3: Cross multiply
    4,417.94x = 9,448.69 × 9,448.69
  4. Step 4: Simplify right side
    4,417.94x = 89,277,695.47
  5. Step 5: Solve for x
    x = 89,277,695.47/4,417.94
  6. Step 6: Final answer
    x = 20,208.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.