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Finding the Third Proportional to 10,047.38 and 21,429.56

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Solution

The third proportional to 10,047.38 and 21,429.56 is: 45,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.38 : 21,429.56 = 21,429.56 : x
  2. Step 2: Convert to fraction form
    10,047.38/21,429.56 = 21,429.56/x
  3. Step 3: Cross multiply
    10,047.38x = 21,429.56 × 21,429.56
  4. Step 4: Simplify right side
    10,047.38x = 459,226,148.94
  5. Step 5: Solve for x
    x = 459,226,148.94/10,047.38
  6. Step 6: Final answer
    x = 45,706.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.