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Finding the Third Proportional to 10,362.09 and 22,351.78

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Solution

The third proportional to 10,362.09 and 22,351.78 is: 48,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.09 : 22,351.78 = 22,351.78 : x
  2. Step 2: Convert to fraction form
    10,362.09/22,351.78 = 22,351.78/x
  3. Step 3: Cross multiply
    10,362.09x = 22,351.78 × 22,351.78
  4. Step 4: Simplify right side
    10,362.09x = 499,602,125.05
  5. Step 5: Solve for x
    x = 499,602,125.05/10,362.09
  6. Step 6: Final answer
    x = 48,214.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.