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Finding the Third Proportional to 10,800.84 and 15,822.84

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Solution

The third proportional to 10,800.84 and 15,822.84 is: 23,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.84 : 15,822.84 = 15,822.84 : x
  2. Step 2: Convert to fraction form
    10,800.84/15,822.84 = 15,822.84/x
  3. Step 3: Cross multiply
    10,800.84x = 15,822.84 × 15,822.84
  4. Step 4: Simplify right side
    10,800.84x = 250,362,384.34
  5. Step 5: Solve for x
    x = 250,362,384.34/10,800.84
  6. Step 6: Final answer
    x = 23,179.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.