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Finding the Third Proportional to 7,873.88 and 16,544.25

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Solution

The third proportional to 7,873.88 and 16,544.25 is: 34,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.88 : 16,544.25 = 16,544.25 : x
  2. Step 2: Convert to fraction form
    7,873.88/16,544.25 = 16,544.25/x
  3. Step 3: Cross multiply
    7,873.88x = 16,544.25 × 16,544.25
  4. Step 4: Simplify right side
    7,873.88x = 273,712,208.06
  5. Step 5: Solve for x
    x = 273,712,208.06/7,873.88
  6. Step 6: Final answer
    x = 34,762.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.