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Finding the Third Proportional to 10,552.70 and 19,548.45

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Solution

The third proportional to 10,552.70 and 19,548.45 is: 36,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.70 : 19,548.45 = 19,548.45 : x
  2. Step 2: Convert to fraction form
    10,552.70/19,548.45 = 19,548.45/x
  3. Step 3: Cross multiply
    10,552.70x = 19,548.45 × 19,548.45
  4. Step 4: Simplify right side
    10,552.70x = 382,141,828.68
  5. Step 5: Solve for x
    x = 382,141,828.68/10,552.70
  6. Step 6: Final answer
    x = 36,212.70

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.