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Finding the Third Proportional to 7,252.03 and 16,421.48

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Solution

The third proportional to 7,252.03 and 16,421.48 is: 37,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.03 : 16,421.48 = 16,421.48 : x
  2. Step 2: Convert to fraction form
    7,252.03/16,421.48 = 16,421.48/x
  3. Step 3: Cross multiply
    7,252.03x = 16,421.48 × 16,421.48
  4. Step 4: Simplify right side
    7,252.03x = 269,665,149.08
  5. Step 5: Solve for x
    x = 269,665,149.08/7,252.03
  6. Step 6: Final answer
    x = 37,184.77

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.