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Finding the Third Proportional to 5,873.77 and 8,822.04

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Solution

The third proportional to 5,873.77 and 8,822.04 is: 13,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.77 : 8,822.04 = 8,822.04 : x
  2. Step 2: Convert to fraction form
    5,873.77/8,822.04 = 8,822.04/x
  3. Step 3: Cross multiply
    5,873.77x = 8,822.04 × 8,822.04
  4. Step 4: Simplify right side
    5,873.77x = 77,828,373.22
  5. Step 5: Solve for x
    x = 77,828,373.22/5,873.77
  6. Step 6: Final answer
    x = 13,250.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.