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Finding the Third Proportional to 14,782.92 and 22,328.16

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Solution

The third proportional to 14,782.92 and 22,328.16 is: 33,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.92 : 22,328.16 = 22,328.16 : x
  2. Step 2: Convert to fraction form
    14,782.92/22,328.16 = 22,328.16/x
  3. Step 3: Cross multiply
    14,782.92x = 22,328.16 × 22,328.16
  4. Step 4: Simplify right side
    14,782.92x = 498,546,561.52
  5. Step 5: Solve for x
    x = 498,546,561.52/14,782.92
  6. Step 6: Final answer
    x = 33,724.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.