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Finding the Third Proportional to 4,417.98 and 9,143.51

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Solution

The third proportional to 4,417.98 and 9,143.51 is: 18,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.98 : 9,143.51 = 9,143.51 : x
  2. Step 2: Convert to fraction form
    4,417.98/9,143.51 = 9,143.51/x
  3. Step 3: Cross multiply
    4,417.98x = 9,143.51 × 9,143.51
  4. Step 4: Simplify right side
    4,417.98x = 83,603,735.12
  5. Step 5: Solve for x
    x = 83,603,735.12/4,417.98
  6. Step 6: Final answer
    x = 18,923.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.