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Finding the Third Proportional to 2,166.75 and 4,465.13

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Solution

The third proportional to 2,166.75 and 4,465.13 is: 9,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.75 : 4,465.13 = 4,465.13 : x
  2. Step 2: Convert to fraction form
    2,166.75/4,465.13 = 4,465.13/x
  3. Step 3: Cross multiply
    2,166.75x = 4,465.13 × 4,465.13
  4. Step 4: Simplify right side
    2,166.75x = 19,937,341.27
  5. Step 5: Solve for x
    x = 19,937,341.27/2,166.75
  6. Step 6: Final answer
    x = 9,201.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.