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Finding the Third Proportional to 7,425 and 16,490.25

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Solution

The third proportional to 7,425 and 16,490.25 is: 36,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425 : 16,490.25 = 16,490.25 : x
  2. Step 2: Convert to fraction form
    7,425/16,490.25 = 16,490.25/x
  3. Step 3: Cross multiply
    7,425x = 16,490.25 × 16,490.25
  4. Step 4: Simplify right side
    7,425x = 271,928,345.06
  5. Step 5: Solve for x
    x = 271,928,345.06/7,425
  6. Step 6: Final answer
    x = 36,623.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.