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Finding the Third Proportional to 8,764.88 and 19,724.63

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Solution

The third proportional to 8,764.88 and 19,724.63 is: 44,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.88 : 19,724.63 = 19,724.63 : x
  2. Step 2: Convert to fraction form
    8,764.88/19,724.63 = 19,724.63/x
  3. Step 3: Cross multiply
    8,764.88x = 19,724.63 × 19,724.63
  4. Step 4: Simplify right side
    8,764.88x = 389,060,831.39
  5. Step 5: Solve for x
    x = 389,060,831.39/8,764.88
  6. Step 6: Final answer
    x = 44,388.63

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.