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Finding the Third Proportional to 15,384.94 and 22,000.36

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Solution

The third proportional to 15,384.94 and 22,000.36 is: 31,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.94 : 22,000.36 = 22,000.36 : x
  2. Step 2: Convert to fraction form
    15,384.94/22,000.36 = 22,000.36/x
  3. Step 3: Cross multiply
    15,384.94x = 22,000.36 × 22,000.36
  4. Step 4: Simplify right side
    15,384.94x = 484,015,812.63
  5. Step 5: Solve for x
    x = 484,015,812.63/15,384.94
  6. Step 6: Final answer
    x = 31,460.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.