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Finding the Third Proportional to 5,060.29 and 10,852.42

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Solution

The third proportional to 5,060.29 and 10,852.42 is: 23,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,060.29 : 10,852.42 = 10,852.42 : x
  2. Step 2: Convert to fraction form
    5,060.29/10,852.42 = 10,852.42/x
  3. Step 3: Cross multiply
    5,060.29x = 10,852.42 × 10,852.42
  4. Step 4: Simplify right side
    5,060.29x = 117,774,975.77
  5. Step 5: Solve for x
    x = 117,774,975.77/5,060.29
  6. Step 6: Final answer
    x = 23,274.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.