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Finding the Third Proportional to 16,496.47 and 22,412.48

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Solution

The third proportional to 16,496.47 and 22,412.48 is: 30,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.47 : 22,412.48 = 22,412.48 : x
  2. Step 2: Convert to fraction form
    16,496.47/22,412.48 = 22,412.48/x
  3. Step 3: Cross multiply
    16,496.47x = 22,412.48 × 22,412.48
  4. Step 4: Simplify right side
    16,496.47x = 502,319,193.21
  5. Step 5: Solve for x
    x = 502,319,193.21/16,496.47
  6. Step 6: Final answer
    x = 30,450.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.