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Finding the Third Proportional to 5,582.81 and 11,165.06

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Solution

The third proportional to 5,582.81 and 11,165.06 is: 22,329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.81 : 11,165.06 = 11,165.06 : x
  2. Step 2: Convert to fraction form
    5,582.81/11,165.06 = 11,165.06/x
  3. Step 3: Cross multiply
    5,582.81x = 11,165.06 × 11,165.06
  4. Step 4: Simplify right side
    5,582.81x = 124,658,620.63
  5. Step 5: Solve for x
    x = 124,658,620.63/5,582.81
  6. Step 6: Final answer
    x = 22,329.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.